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Discrete & Continuous Dynamical Systems - Series S (DCDS-S) only publishes theme issues. Each issue is devoted to a specific area of the mathematical, physical and engineering sciences. This area will define a research frontier that is advancing rapidly, often bridging mathematics and sciences. DCDS-S is essential reading for mathematicians, physicists, engineers and other physical scientists. The journal is published bimonthly.

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Preface: Applications of mathematical analysis to problems in theoretical physics
Vieri Benci, Sunra Mosconi and Marco Squassina
2021, 14(5) : i-i doi: 10.3934/dcdss.2020446 +[Abstract](493) +[HTML](172) +[PDF](73.46KB)
Concentration phenomena for the Schrödinger-Poisson system in $ \mathbb{R}^2 $
Denis Bonheure, Silvia Cingolani and Simone Secchi
2021, 14(5) : 1631-1648 doi: 10.3934/dcdss.2020447 +[Abstract](475) +[HTML](163) +[PDF](472.96KB)
Local smooth solutions of the nonlinear Klein-gordon equation
Thierry Cazenave and Ivan Naumkin
2021, 14(5) : 1649-1672 doi: 10.3934/dcdss.2020448 +[Abstract](526) +[HTML](172) +[PDF](418.64KB)
The algorithmic numbers in non-archimedean numerical computing environments
Vieri Benci and Marco Cococcioni
2021, 14(5) : 1673-1692 doi: 10.3934/dcdss.2020449 +[Abstract](414) +[HTML](178) +[PDF](420.46KB)
A survey on asymptotic stability of ground states of nonlinear Schrödinger equations II
Scipio Cuccagna and Masaya Maeda
2021, 14(5) : 1693-1716 doi: 10.3934/dcdss.2020450 +[Abstract](516) +[HTML](167) +[PDF](490.31KB)
Causal fermion systems and the ETH approach to quantum theory
Felix Finster, Jürg Fröhlich, Marco Oppio and Claudio F. Paganini
2021, 14(5) : 1717-1746 doi: 10.3934/dcdss.2020451 +[Abstract](476) +[HTML](166) +[PDF](434.39KB)
On a class of semipositone problems with singular Trudinger-Moser nonlinearities
Shiqiu Fu and Kanishka Perera
2021, 14(5) : 1747-1756 doi: 10.3934/dcdss.2020452 +[Abstract](480) +[HTML](170) +[PDF](297.83KB)
Compactness results for linearly perturbed Yamabe problem on manifolds with boundary
Marco Ghimenti and Anna Maria Micheletti
2021, 14(5) : 1757-1778 doi: 10.3934/dcdss.2020453 +[Abstract](417) +[HTML](161) +[PDF](453.96KB)
Sign-changing solutions for a parameter-dependent quasilinear equation
Jiaquan Liu, Xiangqing Liu and Zhi-Qiang Wang
2021, 14(5) : 1779-1799 doi: 10.3934/dcdss.2020454 +[Abstract](484) +[HTML](186) +[PDF](433.72KB)
Numerical treatment of Gray-Scott model with operator splitting method
Berat Karaagac
2020doi: 10.3934/dcdss.2020143 +[Abstract](641) +[HTML](237) +[PDF](598.15KB)
Mathematical model of diabetes and its complication involving fractional operator without singular kernal
Ravi Shanker Dubey and Pranay Goswami
2019doi: 10.3934/dcdss.2020144 +[Abstract](1501) +[HTML](781) +[PDF](558.45KB)
A Sturm-Liouville approach for continuous and discrete Mittag-Leffler kernel fractional operators
Raziye Mert, Thabet Abdeljawad and Allan Peterson
2019doi: 10.3934/dcdss.2020171 +[Abstract](1107) +[HTML](633) +[PDF](392.67KB)
Electromagnetic waves described by a fractional derivative of variable and constant order with non singular kernel
Krunal B. Kachhia and Abdon Atangana
2020doi: 10.3934/dcdss.2020172 +[Abstract](449) +[HTML](228) +[PDF](290.03KB)
A novel model for the contamination of a system of three artificial lakes
Veysel Fuat Hatipoğlu
2019doi: 10.3934/dcdss.2020176 +[Abstract](1062) +[HTML](667) +[PDF](3352.88KB)
Melnikov analysis of the nonlocal nanobeam resting on fractional-order softening nonlinear viscoelastic foundations
Guy Joseph Eyebe, Betchewe Gambo, Alidou Mohamadou and Timoleon Crepin Kofane
2020doi: 10.3934/dcdss.2020252 +[Abstract](970) +[HTML](477) +[PDF](733.98KB)
Stability and bifurcation analysis in a delay-induced predator-prey model with Michaelis-Menten type predator harvesting
Ming Liu, Dongpo Hu and Fanwei Meng
2020doi: 10.3934/dcdss.2020259 +[Abstract](1056) +[HTML](525) +[PDF](1720.53KB)
Parallelization of a finite volumes discretization for anisotropic diffusion problems using an improved Schur complement technique
Hassan Belhadj, Samir Khallouq and Mohamed Rhoudaf
2020doi: 10.3934/dcdss.2020260 +[Abstract](527) +[HTML](286) +[PDF](1657.38KB)
A new application of the reproducing kernel method
Ali Akgül
2020doi: 10.3934/dcdss.2020261 +[Abstract](424) +[HTML](211) +[PDF](296.77KB)
Existence and multiplicity of positive solutions for a class of quasilinear Schrödinger equations in $ \mathbb R^N $$ ^\diamondsuit $
Ziqing Yuan and Jianshe Yu
2020doi: 10.3934/dcdss.2020281 +[Abstract](879) +[HTML](446) +[PDF](423.16KB)
A wavelet method for nonlinear variable-order time fractional 2D Schrödinger equation
Masoumeh Hosseininia, Mohammad Hossein Heydari and Carlo Cattani
2020doi: 10.3934/dcdss.2020295 +[Abstract](765) +[HTML](320) +[PDF](5361.2KB)
Chaotic oscillations of linear hyperbolic PDE with variable coefficients and implicit boundary conditions
Qigui Yang and Qiaomin Xiang
2020doi: 10.3934/dcdss.2020335 +[Abstract](696) +[HTML](424) +[PDF](891.24KB)
New results for oscillation of fractional partial differential equations with damping term
Liping Luo, Zhenguo Luo and Yunhui Zeng
2020doi: 10.3934/dcdss.2020336 +[Abstract](714) +[HTML](422) +[PDF](261.14KB)
On the number of limit cycles of a quartic polynomial system
Min Li and Maoan Han
2020doi: 10.3934/dcdss.2020337 +[Abstract](696) +[HTML](393) +[PDF](347.18KB)
Positive solutions of the discrete Robin problem with $ \phi $-Laplacian
Jiaoxiu Ling and Zhan Zhou
2020doi: 10.3934/dcdss.2020338 +[Abstract](712) +[HTML](400) +[PDF](293.23KB)
Existence criteria of ground state solutions for Schrödinger-Poisson systems with a vanishing potential
Sitong Chen, Wennian Huang and Xianhua Tang
2020doi: 10.3934/dcdss.2020339 +[Abstract](725) +[HTML](431) +[PDF](359.37KB)
Traveling waves in a nonlocal dispersal predator-prey model
Yu-Xia Hao, Wan-Tong Li and Fei-Ying Yang
2020doi: 10.3934/dcdss.2020340 +[Abstract](772) +[HTML](417) +[PDF](410.11KB)
Solution of contrast structure type for a reaction-diffusion equation with discontinuous reactive term
Xiao Wu and Mingkang Ni
2020doi: 10.3934/dcdss.2020341 +[Abstract](784) +[HTML](391) +[PDF](759.5KB)
Higher order convergence for a class of set differential equations with initial conditions
Peiguang Wang, Xiran Wu and Huina Liu
2020doi: 10.3934/dcdss.2020342 +[Abstract](695) +[HTML](418) +[PDF](313.23KB)
Global attractor for damped forced nonlinear logarithmic Schrödinger equations
Olivier Goubet and Ezzeddine Zahrouni
2020doi: 10.3934/dcdss.2020393 +[Abstract](598) +[HTML](303) +[PDF](321.63KB)
Lipschitz stability in determination of coefficients in a two-dimensional Boussinesq system by arbitrary boundary observation
Mourad Bellassoued and Chaima Moufid
2020doi: 10.3934/dcdss.2020394 +[Abstract](583) +[HTML](343) +[PDF](330.07KB)
Stochastic dynamics of the FitzHugh-Nagumo neuron model through a modified Van der Pol equation with fractional-order term and Gaussian white noise excitation
Boris Anicet Guimfack, Conrad Bertrand Tabi, Alidou Mohamadou and Timoléon Crépin Kofané
2020doi: 10.3934/dcdss.2020397 +[Abstract](698) +[HTML](368) +[PDF](1859.48KB)
Abundant novel solutions of the conformable Lakshmanan-Porsezian-Daniel model
Hajar Farhan Ismael, Haci Mehmet Baskonus and Hasan Bulut
2020doi: 10.3934/dcdss.2020398 +[Abstract](804) +[HTML](484) +[PDF](3129.04KB)
Darcy-Forchheimer relation in Magnetohydrodynamic Jeffrey nanofluid flow over stretching surface
Ghulam Rasool, Anum Shafiq and Hülya Durur
2020doi: 10.3934/dcdss.2020399 +[Abstract](787) +[HTML](492) +[PDF](964.99KB)
Self-adaptive algorithm based on a posteriori analysis of the error applied to air quality forecasting using the finite volume method
Hatim Tayeq, Amal Bergam, Anouar El Harrak and Kenza Khomsi
2020doi: 10.3934/dcdss.2020400 +[Abstract](1661) +[HTML](1027) +[PDF](995.97KB)
A fuzzy inventory model for Weibull deteriorating items under completely backlogged shortages
Deepak Kumar Nayak, Sudhansu Sekhar Routray, Susanta Kumar Paikray and Hemen Dutta
2020doi: 10.3934/dcdss.2020401 +[Abstract](641) +[HTML](350) +[PDF](416.47KB)
Numerical investigation of space fractional order diffusion equation by the Chebyshev collocation method of the fourth kind and compact finite difference scheme
Yones Esmaeelzade Aghdam, Hamid Safdari, Yaqub Azari, Hossein Jafari and Dumitru Baleanu
2020doi: 10.3934/dcdss.2020402 +[Abstract](781) +[HTML](340) +[PDF](769.47KB)
Interpolation of exponential-type functions on a uniform grid by shifts of a basis function
Jeremy Levesley, Xinping Sun, Fahd Jarad and Alexander Kushpel
2020doi: 10.3934/dcdss.2020403 +[Abstract](578) +[HTML](324) +[PDF](317.1KB)
The Sobolev-Morawetz approach for the energy scattering of nonlinear Schrödinger-type equations with radial data
Van Duong Dinh and Sahbi Keraani
2020doi: 10.3934/dcdss.2020407 +[Abstract](710) +[HTML](321) +[PDF](587.08KB)
Characterisation of the pressure term in the incompressible Navier–Stokes equations on the whole space
Pedro Gabriel Fernández-Dalgo and Pierre Gilles Lemarié–Rieusset
2020doi: 10.3934/dcdss.2020408 +[Abstract](536) +[HTML](337) +[PDF](388.34KB)
An extension of the landweber regularization for a backward time fractional wave problem
Bin Fan, Mejdi Azaïez and Chuanju Xu
2020doi: 10.3934/dcdss.2020409 +[Abstract](643) +[HTML](320) +[PDF](1662.84KB)
Global attractor for a one dimensional weakly damped half-wave equation
Brahim Alouini
2020doi: 10.3934/dcdss.2020410 +[Abstract](600) +[HTML](286) +[PDF](354.74KB)
Numerical simulations of parity–time symmetric nonlinear Schrödinger equations in critical case
Edès Destyl, Jacques Laminie, Paul Nuiro and Pascal Poullet
2020doi: 10.3934/dcdss.2020411 +[Abstract](533) +[HTML](304) +[PDF](2369.8KB)
From quasi-incompressible to semi-compressible fluids
Tomáš Roubíček
2020doi: 10.3934/dcdss.2020414 +[Abstract](563) +[HTML](277) +[PDF](453.34KB)
Topological indices of discrete molecular structure
Muhammad Aamer Rashid, Sarfraz Ahmad, Muhammad Kamran Siddiqui, Juan L. G. Guirao and Najma Abdul Rehman
2020doi: 10.3934/dcdss.2020418 +[Abstract](557) +[HTML](283) +[PDF](422.8KB)
Global weak solutions for an newtonian fluid interacting with a Koiter type shell under natural boundary conditions
Hannes Eberlein and Michael Růžička
2020doi: 10.3934/dcdss.2020419 +[Abstract](509) +[HTML](285) +[PDF](624.9KB)
Pata type contractions involving rational expressions with an application to integral equations
Erdal Karapınar, Abdon Atangana and Andreea Fulga
2020doi: 10.3934/dcdss.2020420 +[Abstract](528) +[HTML](271) +[PDF](343.83KB)
On solutions of fractal fractional differential equations
Abdon Atangana and Ali Akgül
2020doi: 10.3934/dcdss.2020421 +[Abstract](702) +[HTML](332) +[PDF](1356.93KB)
Analysis and new applications of fractal fractional differential equations with power law kernel
Ali Akgül
2020doi: 10.3934/dcdss.2020423 +[Abstract](427) +[HTML](227) +[PDF](937.26KB)
On a nonlocal problem involving the fractional $ p(x,.) $-Laplacian satisfying Cerami condition
Elhoussine Azroul, Abdelmoujib Benkirane and and Mohammed Shimi
2020doi: 10.3934/dcdss.2020425 +[Abstract](453) +[HTML](230) +[PDF](459.88KB)
Androgen driven evolutionary population dynamics in prostate cancer growth
Ebraheem O. Alzahrani and Muhammad Altaf Khan
2020doi: 10.3934/dcdss.2020426 +[Abstract](622) +[HTML](238) +[PDF](662.8KB)
Exact analytical solutions of fractional order telegraph equations via triple Laplace transform
Rahmat Ali Khan, Yongjin Li and Fahd Jarad
2020doi: 10.3934/dcdss.2020427 +[Abstract](454) +[HTML](244) +[PDF](264.13KB)
An efficient numerical method for fractional model of allelopathic stimulatory phytoplankton species with Mittag-Leffler law
Behzad Ghanbari, Devendra Kumar and Jagdev Singh
2020doi: 10.3934/dcdss.2020428 +[Abstract](408) +[HTML](225) +[PDF](664.56KB)
Application of Caputo-Fabrizio derivative to a cancer model with unknown parameters
M. M. El-Dessoky and Muhammad Altaf Khan
2020doi: 10.3934/dcdss.2020429 +[Abstract](409) +[HTML](209) +[PDF](2860.13KB)
Comprehensive analysis of integer-order, Caputo-Fabrizio (CF) and Atangana-Baleanu (ABC) fractional time derivative for MHD Oldroyd-B fluid with slip effect and time dependent boundary condition
Muhammad Bilal Riaz and Syed Tauseef Saeed
2020doi: 10.3934/dcdss.2020430 +[Abstract](472) +[HTML](269) +[PDF](5370.07KB)
Solving a class of biological HIV infection model of latently infected cells using heuristic approach
Yolanda Guerrero–Sánchez, Muhammad Umar, Zulqurnain Sabir, Juan L. G. Guirao and Muhammad Asif Zahoor Raja
2020doi: 10.3934/dcdss.2020431 +[Abstract](377) +[HTML](174) +[PDF](4353.09KB)
On the fuzzy stability results for fractional stochastic Volterra integral equation
Reza Chaharpashlou, Abdon Atangana and Reza Saadati
2020doi: 10.3934/dcdss.2020432 +[Abstract](469) +[HTML](175) +[PDF](405.28KB)
Oscillatory states and patterns formation in a two-cell cubic autocatalytic reaction-diffusion model subjected to the Dirichlet conditions
H. M. Srivastava, H. I. Abdel-Gawad and Khaled Mohammed Saad
2020doi: 10.3934/dcdss.2020433 +[Abstract](495) +[HTML](183) +[PDF](662.64KB)
Feedback stabilization of bilinear coupled hyperbolic systems
Ilyasse Lamrani, Imad El Harraki, Ali Boutoulout and Fatima-Zahrae El Alaoui
2020doi: 10.3934/dcdss.2020434 +[Abstract](689) +[HTML](253) +[PDF](425.93KB)
Solving fractional Advection-diffusion equation using Genocchi operational matrix based on Atangana-Baleanu derivative
S. Sadeghi, H. Jafari and S. Nemati
2020doi: 10.3934/dcdss.2020435 +[Abstract](459) +[HTML](197) +[PDF](1179.98KB)
Existence and nonexistence of entire positive radial solutions for a class of Schrödinger elliptic systems involving a nonlinear operator
Zedong Yang, Guotao Wang, Ravi P. Agarwal and Haiyong Xu
2020doi: 10.3934/dcdss.2020436 +[Abstract](464) +[HTML](197) +[PDF](406.11KB)
Applying quantum calculus for the existence of solution of $ q $-integro-differential equations with three criteria
Thabet Abdeljawad and Mohammad Esmael Samei
2020doi: 10.3934/dcdss.2020440 +[Abstract](420) +[HTML](163) +[PDF](536.73KB)
Stability analysis of a general HIV dynamics model with multi-stages of infected cells and two routes of infection
A. M. Elaiw, N. H. AlShamrani, A. Abdel-Aty and H. Dutta
2020doi: 10.3934/dcdss.2020441 +[Abstract](368) +[HTML](154) +[PDF](708.32KB)
Nonlinear singular $ p $ -Laplacian boundary value problems in the frame of conformable derivative
Mokhtar Bouloudene, Manar A. Alqudah, Fahd Jarad, Yassine Adjabi and Thabet Abdeljawad
2020doi: 10.3934/dcdss.2020442 +[Abstract](444) +[HTML](177) +[PDF](585.67KB)
Oscillation criteria for kernel function dependent fractional dynamic equations
Bahaaeldin Abdalla and Thabet Abdeljawad
2020doi: 10.3934/dcdss.2020443 +[Abstract](381) +[HTML](155) +[PDF](383.87KB)
On the observability of conformable linear time-invariant control systems
Awais Younus, Zoubia Dastgeer, Nudrat Ishaq, Abdul Ghaffar, Kottakkaran Sooppy Nisar and Devendra Kumar
2020doi: 10.3934/dcdss.2020444 +[Abstract](609) +[HTML](169) +[PDF](337.91KB)
Radial symmetry for logarithmic Choquard equation involving a generalized tempered fractional $ p $-Laplacian
Lihong Zhang, Wenwen Hou, Bashir Ahmad and Guotao Wang
2020doi: 10.3934/dcdss.2020445 +[Abstract](382) +[HTML](179) +[PDF](422.36KB)
Decay of solutions to one dimensional nonlinear Schrödinger equations with white noise dispersion
Serge Dumont, Olivier Goubet and Youcef Mammeri
2020doi: 10.3934/dcdss.2020456 +[Abstract](367) +[HTML](170) +[PDF](997.51KB)
Analysis of a model for tumor growth and lactate exchanges in a glioma
Laurence Cherfils, Stefania Gatti, Alain Miranville and Rémy Guillevin
2020doi: 10.3934/dcdss.2020457 +[Abstract](395) +[HTML](169) +[PDF](6207.78KB)
A theory of generalised solutions for ideal gas mixtures with Maxwell-Stefan diffusion
Pierre-Etienne Druet
2020doi: 10.3934/dcdss.2020458 +[Abstract](452) +[HTML](161) +[PDF](462.63KB)
An experimentally-fitted thermodynamical constitutive model for polycrystalline shape memory alloys
Barbora Benešová, Miroslav Frost, Lukáš Kadeřávek, Tomáš Roubíček and Petr Sedlák
2020doi: 10.3934/dcdss.2020459 +[Abstract](366) +[HTML](185) +[PDF](2865.27KB)
Dimension reduction of thermistor models for large-area organic light-emitting diodes
Annegret Glitzky, Matthias Liero and Grigor Nika
2020doi: 10.3934/dcdss.2020460 +[Abstract](352) +[HTML](173) +[PDF](402.03KB)
Structure of positive solutions to a class of Schrödinger systems
Xiyou Cheng and Zhitao Zhang
2020doi: 10.3934/dcdss.2020461 +[Abstract](413) +[HTML](147) +[PDF](357.9KB)
A direct method of moving planes for fully nonlinear nonlocal operators and applications
Yuxia Guo and Shaolong Peng
2020doi: 10.3934/dcdss.2020462 +[Abstract](408) +[HTML](219) +[PDF](431.38KB)
Representation and approximation of the polar factor of an operator on a Hilbert space
Mostafa Mbekhta
2020doi: 10.3934/dcdss.2020463 +[Abstract](362) +[HTML](150) +[PDF](286.53KB)
An age group model for the study of a population of trees
Laurent Di Menza and Virginie Joanne-Fabre
2020doi: 10.3934/dcdss.2020464 +[Abstract](343) +[HTML](164) +[PDF](606.33KB)
On the convergence to equilibria of a sequence defined by an implicit scheme
Thierry Horsin and Mohamed Ali Jendoubi
2020doi: 10.3934/dcdss.2020465 +[Abstract](355) +[HTML](159) +[PDF](264.45KB)
Numerical simulation of the nonlinear fractional regularized long-wave model arising in ion acoustic plasma waves
Omid Nikan, Seyedeh Mahboubeh Molavi-Arabshai and Hossein Jafari
2020doi: 10.3934/dcdss.2020466 +[Abstract](415) +[HTML](222) +[PDF](1059.94KB)
On a linearized Mullins-Sekerka/Stokes system for two-phase flows
Helmut Abels and Andreas Marquardt
2020doi: 10.3934/dcdss.2020467 +[Abstract](337) +[HTML](152) +[PDF](420.1KB)
Stochastic delay differential equations of three-species prey-predator system with cooperation among prey species
Fathalla A. Rihan and Hebatallah J. Alsakaji
2020doi: 10.3934/dcdss.2020468 +[Abstract](646) +[HTML](172) +[PDF](1090.19KB)
Improved Sobolev inequalities involving weighted Morrey norms and the existence of nontrivial solutions to doubly critical elliptic systems involving fractional Laplacian and Hardy terms
Gongbao Li and Tao Yang
2020doi: 10.3934/dcdss.2020469 +[Abstract](396) +[HTML](154) +[PDF](510.79KB)
Numerical solutions for a Timoshenko-type system with thermoelasticity with second sound
Makram Hamouda, Ahmed Bchatnia and Mohamed Ali Ayadi
2021doi: 10.3934/dcdss.2021001 +[Abstract](221) +[HTML](117) +[PDF](491.92KB)
Damping, stabilization, and numerical filtering for the modeling and the simulation of time dependent PDEs
Jean-Paul Chehab
2021doi: 10.3934/dcdss.2021002 +[Abstract](208) +[HTML](111) +[PDF](2153.27KB)
Equilibrium of immersed hyperelastic solids
Manuel Friedrich, Martin Kružík and Ulisse Stefanelli
2021doi: 10.3934/dcdss.2021003 +[Abstract](228) +[HTML](107) +[PDF](369.13KB)
On properties of similarity boundary of attractors in product dynamical systems
Nitha Niralda P C and Sunil Mathew
2021doi: 10.3934/dcdss.2021004 +[Abstract](211) +[HTML](101) +[PDF](530.27KB)
Finite- and multi-dimensional state representations and some fundamental asymptotic properties of a family of nonlinear multi-population models for HIV/AIDS with ART treatment and distributed delays
Divine Wanduku
2021doi: 10.3934/dcdss.2021005 +[Abstract](256) +[HTML](109) +[PDF](1264.54KB)
Shape optimization method for an inverse geometric source problem and stability at critical shape
Lekbir Afraites, Chorouk Masnaoui and Mourad Nachaoui
2021doi: 10.3934/dcdss.2021006 +[Abstract](355) +[HTML](115) +[PDF](490.99KB)
Nontrivial solutions for the fractional Laplacian problems without asymptotic limits near both infinity and zero
Yutong Chen and Jiabao Su
2021doi: 10.3934/dcdss.2021007 +[Abstract](218) +[HTML](108) +[PDF](340.23KB)
Solutions to Chern-Simons-Schrödinger systems with external potential
Lingyu Li, Jianfu Yang and Jinge Yang
2021doi: 10.3934/dcdss.2021008 +[Abstract](226) +[HTML](114) +[PDF](341.04KB)
Traveling wave fronts in a diffusive and competitive Lotka-Volterra system
Zengji Du, Shuling Yan and Kaige Zhuang
2021doi: 10.3934/dcdss.2021010 +[Abstract](178) +[HTML](100) +[PDF](301.19KB)
A novel semi-analytical method for solutions of two dimensional fuzzy fractional wave equation using natural transform
Muhammad Arfan, Kamal Shah, Aman Ullah, Soheil Salahshour, Ali Ahmadian and Massimiliano Ferrara
2021doi: 10.3934/dcdss.2021011 +[Abstract](231) +[HTML](134) +[PDF](9344.18KB)
Existence and regularity results for a singular parabolic equations with degenerate coercivity
Mounim El Ouardy, Youssef El Hadfi and Aziz Ifzarne
2021doi: 10.3934/dcdss.2021012 +[Abstract](386) +[HTML](117) +[PDF](438.4KB)
An efficient D-N alternating algorithm for solving an inverse problem for Helmholtz equation
Karzan Berdawood, Abdeljalil Nachaoui, Rostam Saeed, Mourad Nachaoui and Fatima Aboud
2021doi: 10.3934/dcdss.2021013 +[Abstract](252) +[HTML](119) +[PDF](1394.52KB)
Energetics and coarsening analysis of a simplified non-linear surface growth model
Hamza Khalfi, Amal Aarab and Nour Eddine Alaa
2021doi: 10.3934/dcdss.2021014 +[Abstract](186) +[HTML](105) +[PDF](1438.14KB)
Existence of solution for Kirchhoff type problem in Orlicz-Sobolev spaces Via Leray-Schauder's nonlinear alternative
Abdelaaziz Sbai, Youssef El Hadfi, Mohammed Srati and Noureddine Aboutabit
2021doi: 10.3934/dcdss.2021015 +[Abstract](335) +[HTML](119) +[PDF](380.88KB)
Existence of nontrivial solutions to Chern-Simons-Schrödinger system with indefinite potential
Jincai Kang and Chunlei Tang
2021doi: 10.3934/dcdss.2021016 +[Abstract](170) +[HTML](102) +[PDF](346.95KB)
Mathematical modelling of cytosolic calcium concentration distribution using non-local fractional operator
Ritu Agarwal, Kritika, Sunil Dutt Purohit and Devendra Kumar
2021doi: 10.3934/dcdss.2021017 +[Abstract](210) +[HTML](98) +[PDF](255.75KB)
Computational and numerical simulations for the deoxyribonucleic acid (DNA) model
Raghda A. M. Attia, Dumitru Baleanu, Dianchen Lu, Mostafa M. A. Khater and El-Sayed Ahmed
2021doi: 10.3934/dcdss.2021018 +[Abstract](235) +[HTML](88) +[PDF](7747.18KB)
Class of integrals and applications of fractional kinetic equation with the generalized multi-index Bessel function
Dayalal Suthar, Sunil Dutt Purohit, Haile Habenom and Jagdev Singh
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