Higher-dimensional physical models with multimemory indices: analytic solution and convergence analysis

DOI10.1186/s13662-020-02822-7zbMath1485.35392OpenAlexW3042332630WikidataQ98656983 ScholiaQ98656983MaRDI QIDQ2114239

Imad Jaradat, Ruwa Abdel-Muhsen, Shaher Momani, Marwan Alquran, Dumitru Baleanu

Publication date: 15 March 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02822-7

zbMATH Keywords

analytic solutionfractional PDEsmemory index

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Series solutions to PDEs (35C10) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11) Functional-differential equations with fractional derivatives (34K37)

Cites Work

• Spatial dispersion of elastic waves in a bar characterized by tempered nonlocal elasticity
• A fractional variational iteration method for solving fractional nonlinear differential equations
• Implicit difference approximation for the time fractional heat equation with the nonlocal condition
• Asymptotic-sequentially solution style for the generalized Caputo time-fractional Newell-Whitehead-Segel system
• Existence results for fractional neutral functional integro-differential evolution equations with infinite delay in Banach spaces
• Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernel
• A new numerical algorithm for fractional Fitzhugh-Nagumo equation arising in transmission of nerve impulses
• A novel scheme for solving Caputo time-fractional nonlinear equations: theory and application
• Analytical solution of the time-fractional Phi-4 equation by using modified residual power series method
• Analytic solution of homogeneous time-invariant fractional IVP
• New results on exact controllability of a class of fractional neutral integro-differential systems with state-dependent delay in Banach spaces
• A fractional epidemiological model for computer viruses pertaining to a new fractional derivative
• Theory and applications of a more general form for fractional power series expansion
• Finite difference approximations for fractional advection-dispersion flow equations
• A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative
• Chaotic behaviour of fractional predator-prey dynamical system
• Mathematical analysis of a fractional differential model of HBV infection with antibody immune response
• A complex valued approach to the solutions of Riemann-Liouville integral, Atangana-Baleanu integral operator and non-linear telegraph equation via fixed point method
• Similarities in a fifth-order evolution equation with and with no singular kernel
• Spatiotemporal patterns in the Belousov-Zhabotinskii reaction systems with Atangana-Baleanu fractional order derivative
• A new analysis of fractional Drinfeld-Sokolov-Wilson model with exponential memory
• An avant-garde handling of temporal-spatial fractional physical models
• New results on existence in the framework of Atangana-Baleanu derivative for fractional integro-differential equations
• A new investigation on fractional-ordered neutral differential systems with state-dependent delay
• Legendre wavelets approach for numerical solutions of distributed order fractional differential equations
• Variational iteration method for fractional calculus -- a universal approach by Laplace transform
• Ternary-fractional differential transform schema: theory and application
• On nonlocal elasticity
• Numerical solutions with linearization techniques of the fractional Harry Dym equation
• A generalization of truncated M-fractional derivative and applications to fractional differential equations
• Controllability results for fractional order neutral functional differential inclusions with infinite delay
• On the controllability of fractional neutral integrodifferential delay equations with nonlocal conditions
• A study of fractional Lotka‐Volterra population model using Haar wavelet and Adams‐Bashforth‐Moulton methods
• An analysis for heat equations arises in diffusion process using new Yang‐Abdel‐Aty‐Cattani fractional operator

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