Regularized Prabhakar derivative for partial differential equations

Bokhari, Ahmed; Baleanu, Dumitru; Belgacem, Rachid

doi:10.22034/cmde.2021.39677.1736

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	Regularized Prabhakar derivative for partial differential equations
Computational Methods for Differential Equations
مقاله 12، دوره 10، شماره 3، مهر 2022، صفحه 726-737 اصل مقاله (345.44 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2021.39677.1736
نویسندگان
Ahmed Bokhari^* ¹^{، 2}؛ Dumitru Baleanu³^{، 4}؛ Rachid Belgacem¹^{، 2}
¹Department of Mathematics, Faculty of Exact Sciences and Informatics, Hassiba Benbouali University of Chlef, Algeria.
²Laboratory of Mathematics and its Applications (LMA).
³Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, TR-06530 Ankara, Turkey.
⁴Institute of Space Sciences, Magurele-Bucharest, Romania.
چکیده
Prabhakar fractional operator was applied recently for studying the dynamics of complex systems from several branches of sciences and engineering. In this manuscript, we discuss the regularized Prabhakar derivative applied to fractional partial differential equations using the Sumudu homotopy analysis method(PSHAM). Three illustrative examples are investigated to confirm our main results.
کلیدواژه‌ها
Regularized Prabhakar derivative؛ Homotopy analysis method؛ Sumudu transform؛ Mittag-Leffler function

مراجع
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Regularized Prabhakar derivative for partial differential equations