Nonlinear fractional differential inclusions with non-singular Mittag-Leffler kernel

In the existing article, the existence of solutions to nonlinear fractional differential inclusions in the sense of the Atangana-Baleanu-Caputo (ABC) fractional derivatives in Banach space is studied. The investigation of the main results relies on the set-valued issue of Mönch fixed point theorem incorporated with the Kuratowski measure of non-compactness. A simulated example is proposed to explain the obtained results. © 2022 the Author(s), licensee AIMS Press.

Authors
Abbas M.I. , Ragusa M.A.
Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
Number of issue
11
Language
English
Pages
20328-20340
Status
Published
Volume
7
Year
2022
Organizations
  • 1 Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria, 21511, Egypt
  • 2 Dipartimento di Matematica e Informatica, Università di Catania, RUDN University, 6 Miklukho-Maklay St, Moscow, 117198, Russian Federation
Keywords
Atangana-Baleanu fractional derivatives; measure of non-compactness; Mönch fixed point theorem
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