Rocky Mountain Journal of Mathematics

Existence and uniqueness of solution for a nonhomogeneous discrete fractional initial value problem

A. Khastan and H. Azadi

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This paper is devoted to the study of a nonhomogeneous discrete fractional initial value problem. Using the Laplace transform, we present the existence and uniqueness of the solution. We illustrate the applicability of results by an example.

Article information

Rocky Mountain J. Math., Volume 49, Number 4 (2019), 1237-1257.

First available in Project Euclid: 29 August 2019

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Zentralblatt MATH identifier

Primary: 39A12: Discrete version of topics in analysis
Secondary: 34A25: Analytical theory: series, transformations, transforms, operational calculus, etc. [See also 44-XX] 26A33: Fractional derivatives and integrals

Discrete fractional calculus discrete Laplace transform discrete Mittag-Leffler function fractional initial value problem


Khastan, A.; Azadi, H. Existence and uniqueness of solution for a nonhomogeneous discrete fractional initial value problem. Rocky Mountain J. Math. 49 (2019), no. 4, 1237--1257. doi:10.1216/RMJ-2019-49-4-1237.

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