实指标的Mittag-Leffler函数及其在求解差分和微分方程中的应用

IF 0.9 4区数学 Q2 MATHEMATICS

Miskolc Mathematical Notes Pub Date : 2023-01-01 DOI:10.18514/mmn.2023.4117

Simon Jaraldpushparaj, Britto Antony Xavier Gnanaprakasam, Sina Etemad, Shahram Rezapour

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Mittag-Leffler function for real index and its application in solving difference and differential equations

. In this paper, we derive a Mittag-Lefﬂer function for real index and establish solutions of special type of fractional order differential equations (FDEs). The same concept is extended to discrete case by replacing polynomials into factorial polynomials and differentiation into (cid:96) -difference operator. Moreover, numerical examples of our results are stated to validate our ﬁndings. The acquired results here have the ability to generate a wide range of formulas in relation to newer results.

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来源期刊

Miskolc Mathematical Notes MATHEMATICS-

CiteScore

1.50

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0.00%

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期刊介绍： Miskolc Mathematical Notes, HU ISSN 1787-2405 (printed version), HU ISSN 1787-2413 (electronic version), is a peer-reviewed international mathematical journal aiming at the dissemination of results in many fields of pure and applied mathematics.