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Bokhari, Ahmed, Baleanu, Dumitru, Belgacem, Rachid. (1401). Regularized Prabhakar derivative for partial differential equations. سامانه مدیریت نشریات علمی, 10(3), 726-737. doi: 10.22034/cmde.2021.39677.1736
Ahmed Bokhari; Dumitru Baleanu; Rachid Belgacem. "Regularized Prabhakar derivative for partial differential equations". سامانه مدیریت نشریات علمی, 10, 3, 1401, 726-737. doi: 10.22034/cmde.2021.39677.1736
Bokhari, Ahmed, Baleanu, Dumitru, Belgacem, Rachid. (1401). 'Regularized Prabhakar derivative for partial differential equations', سامانه مدیریت نشریات علمی, 10(3), pp. 726-737. doi: 10.22034/cmde.2021.39677.1736
Bokhari, Ahmed, Baleanu, Dumitru, Belgacem, Rachid. Regularized Prabhakar derivative for partial differential equations. سامانه مدیریت نشریات علمی, 1401; 10(3): 726-737. doi: 10.22034/cmde.2021.39677.1736

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
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