TY - JOUR ID - 12975 TI - Regularized Prabhakar derivative for partial differential equations JO - Computational Methods for Differential Equations JA - CMDE LA - en SN - 2345-3982 AU - Bokhari, Ahmed AU - Baleanu, Dumitru AU - Belgacem, Rachid AD - Department of Mathematics, Faculty of Exact Sciences and Informatics, Hassiba Benbouali University of Chlef, Algeria. AD - Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, TR-06530 Ankara, Turkey. AD - Department of Mathematics, Faculty of Exact Sciences and Informatics, Hassiba Benbouali University of Chlef, Algeria. Y1 - 2022 PY - 2022 VL - 10 IS - 3 SP - 726 EP - 737 KW - Regularized Prabhakar derivative KW - homotopy analysis method KW - Sumudu transform KW - Mittag-Leffler function DO - 10.22034/cmde.2021.39677.1736 N2 - 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. UR - https://cmde.tabrizu.ac.ir/article_12975.html L1 - https://cmde.tabrizu.ac.ir/article_12975_e0fb27e35a212235261a2546a616e79e.pdf ER -