Advanced Mathematical Models & Applications

Advanced Mathematical Models & Applications

ISSN Online: 2519-4445

Advanced Mathematical Models & Applications is a peer-reviewed, open access journal meant to publish original and significant results and articles in all areas of mathematical modeling and their applications. The aim of this Journal is to bring together researchers and practitioners from academia and industry to establishing new collaborations in this area. The Journal will consider for publication also review articles, literature reviews, correspondence concerning views and information published in previous issues.

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Abstract

In this study, is established the mathematical structure of the M-derivative homogeneous and nonhomogeneous Whittaker equation. The greatest superiority of the vigorous M-derivative used is that it incorporates Mittag-Leffler function; this enables us to preferable sense the representation of the solution Whittaker equation. Various applications of the nonhomogeneous M-Whittaker equation are given and representation of the solution is obtained. The representation of solution to Whittaker equation is obtained using the Laplace transform. The Laplace transform is a powerful method for representation of solution to the Whittaker equation. The results obtained present in graphs based on various order. More sensitive results are achieved.



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