University of Tabriz Computational Methods for Differential Equations 2345-3982 10 3 2022 07 01 Regularized Prabhakar derivative for partial differential equations 726 737 12975 10.22034/cmde.2021.39677.1736 EN Ahmed Bokhari Department of Mathematics, Faculty of Exact Sciences and Informatics, Hassiba Benbouali University of Chlef, Algeria. Laboratory of Mathematics and its Applications (LMA). Dumitru Baleanu Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, TR-06530 Ankara, Turkey. Institute of Space Sciences, Magurele-Bucharest, Romania. Rachid Belgacem Department of Mathematics, Faculty of Exact Sciences and Informatics, Hassiba Benbouali University of Chlef, Algeria. Laboratory of Mathematics and its Applications (LMA). Journal Article 2020 05 06 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. Regularized Prabhakar derivative homotopy analysis method Sumudu transform Mittag-Leffler function https://cmde.tabrizu.ac.ir/article_12975_e0fb27e35a212235261a2546a616e79e.pdf