Work

A Quantum Generalized Mittag-Leffler Function Via Caputo q-Fractional Equations

Year: 2011

Type: preprint

Abstract: Some Caputo q-fractional difference equations are solved. The solutions are expressed by means of a new introduced generalized type of q-Mittag-Leffler functions. The method of successive approximation is used to obtain the solutions. The obtained q-version of Mittag-Leffler function is thought as the q-analogue of the one introduced previously by Kilbas and Saigo.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1102.1585

Authors: Abdeljawad, Thabet, Benli, Betül

Institution: Çankaya University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1766174072

Cites: 13

Cited by: 1

Related to: 20