Fractional exponential operators and time-fractional telegraph equation

DOI10.1186/1687-2770-2012-125zbMath1278.26009OpenAlexW2131324841WikidataQ59272443 ScholiaQ59272443MaRDI QIDQ384440

Alireza Ansari

Publication date: 27 November 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-125

zbMATH Keywords

Laplace transformMellin transformWright functionpartial fractional differential equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Laplace transform (44A10)

Related Items (9)

On fractional calculus of \(\mathcal A_{2n+1}(x)\) function ⋮ On M-Wright transforms and time-fractional diffusion equations ⋮ The neutral-fractional telegraph equation ⋮ On Mellin transforms of solutions of differential equation \(\chi^{(n)}(x)+\gamma_nx\chi (x)=0\) ⋮ A new technique of Laplace variational iteration method for solving space-time fractional telegraph equations ⋮ Unnamed Item ⋮ A new Legendre spectral Galerkin and pseudo-spectral approximations for fractional initial value problems ⋮ On the generalized mass transfer with a chemical reaction: Fractional derivative model ⋮ Unnamed Item

Cites Work

• Operational methods and differential equations with applications to initial-value problems
• Operational methods, fractional operators and special polynomials.
• Generalized shift operators and pseudo-polynomials of fractional order.
• Time-fractional telegraph equations and telegraph processes with Brownian time
• Analytical solution for the time-fractional telegraph equation by the method of separating variables
• 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
• SOLVING PARTIAL FRACTIONAL DIFFERENTIAL EQUATIONS USING THE $\mathcal{L}_A $-TRANSFORM
• Operational methods, special polynomial and functions and solution of partial differential equations

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