Title of article
Regularized Prabhakar derivative for partial differential equations
Author/Authors
Bokhari, Ahmed Department of Mathematics - Faculty of Exact Sciences and Informatics - Hassiba Benbouali University of Chlef, Algeria , Baleanu, Dumitru Department of Mathematics - Faculty of Arts and Sciences - Cankaya University, Turkey , Belgacem, Rachid Department of Mathematics - Faculty of Exact Sciences and Informatics - Hassiba Benbouali University of Chlef, Algeria
Pages
12
From page
726
To page
737
Abstract
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.
Keywords
Regularized Prabhakar derivative , Homotopy analysis method , Mittag-Leffler function , Sumudu transform
Journal title
Computational Methods for Differential Equations
Serial Year
2022
Record number
2722427
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