2021
DOI: 10.1142/s0218348x2240028x
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Solution of Local Fractional Generalized Fokker–planck Equation Using Local Fractional Mohand Adomian Decomposition Method

Abstract: In this paper, we solve the local fractional generalized Fokker–Planck equation. To solve the problem, local fractional Mohand transform with Adomian decomposition method is introduced due to its simple approach and less computational work. Furthermore, for the applicability of the technique, we illustrate some examples and their exact or approximate solutions with their graphical representations.

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Cited by 9 publications
(5 citation statements)
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“…Proof. To find the Laplace transform of the fractional derivative defined in (23), where g(𝜏) is continuous function and 𝛼 ∈ R + , we have…”
Section: New General Fractional Operator Using Lorenzo-hartley Kernelmentioning
confidence: 99%
See 1 more Smart Citation
“…Proof. To find the Laplace transform of the fractional derivative defined in (23), where g(𝜏) is continuous function and 𝛼 ∈ R + , we have…”
Section: New General Fractional Operator Using Lorenzo-hartley Kernelmentioning
confidence: 99%
“…Recently, Yang [14] discussed the generalized fractional calculus operators and their application. Fractional operators are used to describing intermediate processes, critical phenomena in physics, mechanics, and many more fields (see [15][16][17], [18][19][20][21][22][23][24][25]). An anomalous diffusion equation using a new general fractional derivative within the Miller-Ross kernel is one of a recent investigations by Feng and Liu [26].…”
Section: Introductionmentioning
confidence: 99%
“…Fractional differential equations have seen a lot of use in physics and engineering over the last few decades. Thousands of efforts have been put into developing reliable and consistent numerical and analytical methodologies to solve these fractional equations over the past decade or more [15][16][17][18][19][20][21][22][23][24][25]. To find precise and approximative analytical solutions, certain potent techniques have been developed, few of them are Yang-Laplace decomposition approach [26], Sumudu decomposition in local fractional [27], the method of variational iteration [28,29], the method of homotopy analysis [30,31], and the method of fractional difference [32].…”
Section: Introductionmentioning
confidence: 99%
“…They used an effective scheme based on Mohand transform and the homotopy perturbation method to find numerical solutions to nonlinear fractional shock wave equations. Althobaiti, Dubey, and Prasad [21] presented the local fractional Mohand transform with the Adomian decomposition method to solve the local fractional generalized Fokker-Planck equation. Shah, Khan, and Farooq et al [22] employed the Mohand transform to provide the analytical solution to the one-dimensional time fractional system of PDEs.…”
Section: Introductionmentioning
confidence: 99%