IJPAM: Volume 103, No. 4 (2015)

NEW INTEGRAL TRANSFORM FOR SOLVING SOME
FRACTIONAL DIFFERENTIAL EQUATIONS

A. Kashuri$^1$, A. Fundo$^2$, R. Liko$^3$
$^{1,3}$Department of Mathematics
University Ismail Qemali
Vlora, 9400, ALBANIA
$^2$Department of Mathematics
Polytechnic University
Tirana, 1000, ALBANIA


Abstract. In this paper a new integral transform was applied to solve some families of fractional differential equations. The methodology presented here is based chiefly upon some general theorems on (explicit) particular solutions of some families of fractional differential equations with the new integral transform and the expansion coefficients of binomial series.

Received: April 25, 2015

AMS Subject Classification: 34A08

Key Words and Phrases: new integral transform, fractional-order differential equations, Riemann-Liouville fractional integrals, gamma function, Mittag-Leffler function, Wright function

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DOI: 10.12732/ijpam.v103i4.7 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 103
Issue: 4
Pages: 675 - 682


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