Fractional exponential operators and nonlinear partial fractional differential equations in the Weyl fractional derivatives

DOI10.1016/J.AMC.2013.05.066zbMath1329.26011OpenAlexW2058757485MaRDI QIDQ902486

Alireza Ansari

Publication date: 18 January 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.05.066

zbMATH Keywords

Mellin transformexponential operatorwright functionnonlinear partial fractional differential equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Fractional derivatives and integrals (26A33)

Related Items (5)

On fractional calculus of \(\mathcal A_{2n+1}(x)\) function ⋮ Unnamed Item ⋮ On M-Wright transforms and time-fractional diffusion equations ⋮ On the generalized mass transfer with a chemical reaction: Fractional derivative model ⋮ WHAT IS THE EFFECT OF THE WEYL FRACTIONAL INTEGRAL ON THE HÖLDER CONTINUOUS FUNCTIONS?

Cites Work

• Unnamed Item
• Operational methods and differential equations with applications to initial-value problems
• Partial differential equations and solitary waves theory
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Generalized shift operators and pseudo-polynomials of fractional order.
• SOLUTION TO SYSTEM OF PARTIAL FRACTIONAL DIFFERENTIAL EQUATIONS USING THE $\mathcal{L}_2$-TRANSFORM
• Solution to system of partial fractional differential equations using the fractional exponential operators
• Operational methods, special polynomial and functions and solution of partial differential equations

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