LADM procedure to find the analytical solutions of the nonlinear fractional dynamics of partial integro-differential equations

DOI10.1515/dema-2023-0101OpenAlexW4391546313WikidataQ128629300 ScholiaQ128629300MaRDI QIDQ6149825

Gurpreet Singh, Fairouz Tchier, Qasim Khan, Poom Kumam, Hassan Ali Khan

Publication date: 5 March 2024

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2023-0101

zbMATH Keywords

approximate solutionAdomian decomposition methodLaplace transformationanalytical methodCaputo derivative operator

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities involving derivatives and differential and integral operators (26D10) Fractional ordinary differential equations (34A08)

Cites Work

• A note on fractional order derivatives and table of fractional derivatives of some special functions
• Collocation methods for fractional integro-differential equations with weakly singular kernels
• A reliable modification of Adomian decomposition method
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• A new method for solving singular initial value problems in the second-order ordinary differential equations
• A semianalytical approach to the solution of time-fractional Navier-Stokes equation
• Application of the collocation method for solving nonlinear fractional integro-differential equations
• Numerical solution of fractional integro-differential equations by collocation method
• An efficient method for solving Bratu equations
• An effective computational method to deal with a time-fractional nonlinear water wave equation in the Caputo sense
• Convergence of the Adomian decomposition method for initial-value problems
• An analytic study on the approximate solution of a nonlinear time‐fractional Cauchy reaction–diffusion equation with the Mittag–Leffler law
• NUMERICAL SOLUTION OF VARIABLE-ORDER TIME FRACTIONAL WEAKLY SINGULAR PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS WITH ERROR ESTIMATION
• A finite difference scheme for the nonlinear time‐fractional partial integro‐differential equation
• B‐spline solution of fractional integro partial differential equation with a weakly singular kernel
• A new algorithm for solving differential equations of Lane-Emden type
• The Caputo–Fabrizio time-fractional Sharma–Tasso–Olver–Burgers equation and its valid approximations
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