Solution of a fractional differintegral equation
- 1 November 1996
- journal article
- research article
- Published by Taylor & Francis in Integral Transforms and Special Functions
- Vol. 4 (4) , 321-326
- https://doi.org/10.1080/10652469608819118
Abstract
We aim to extend the use of the Riemann-Liouville definition of fractional calculas to solve a differintegral equation of Volterra's type of the form , with positive Re(μ) and Re(ν), α∊C. and g(x) being a given function. The solution is expressed in terms of the Mittag-Leffler functions and the approach used in the paper allows us to extend the range of the parameters μ and ν to a wider range than in Al-Saqabi [7].Keywords
This publication has 1 reference indexed in Scilit:
- The Solution of Certain Integral Equations by Means of Operators of Arbitary OrderThe American Mathematical Monthly, 1990