Application of Sumudu transform in generalized fractional reaction-diffusion equation

DOI10.1007/S40819-015-0066-2zbMath1456.35209OpenAlexW622609249MaRDI QIDQ2657570

Vartika Gulati, Badr Saad T. Alkahtani, Adem Kilicman

Publication date: 14 March 2021

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-015-0066-2

zbMATH Keywords

fractional diffusion equationgeneralized Mittag-Leffler functiongeneralized fractional derivativesSumudu transform and Fourier transform

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Laplace transform (44A10) Fractional partial differential equations (35R11)

Related Items (5)

Regularized Prabhakar Derivative Applications to Partial Differential Equations ⋮ Projectile motion using three parameter Mittag-Leffler function calculus ⋮ The numerical treatment of fractal‐fractional 2D optimal control problems by Müntz–Legendre polynomials ⋮ Numerical solution of 1D and 2D fractional optimal control of system via Bernoulli polynomials ⋮ Computing new solutions of algebro-geometric equation using the discrete inverse Sumudu transform

Cites Work

• Application of the Laplace decomposition method for solving linear and nonlinear fractional diffusion-wave equations
• Solving fractional diffusion and wave equations by modified homotopy perturbation method
• Reaction-diffusion systems and nonlinear waves
• Travelling waves in nonlinear diffusion-convection reaction
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• Approximation of solutions to retarded differential equations with applications to population dynamics
• On the applications of Laplace and Sumudu transforms
• Existence of Turing Instabilities in a Two-Species Fractional Reaction-Diffusion System
• Sumudu transform and the solution of integral equations of convolution type
• A new integral transform and associated distributions
• The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
• The random walk's guide to anomalous diffusion: A fractional dynamics approach
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