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Turkish Journal of Mathematics

Author ORCID Identifier

MÜBERAA SELAH: 0000-0001-6218-398X

Abstract

In this paper, fractional backward stochastic differential equations are extended to multivalued forms. Since the problem of approximate controllability of the obtained fractional backward stochastic differential inclusions has not yet been addressed in the literature, we focus on the approximate controllability of these systems. The study’s main results, such as existence of the mild solution and approximate controllability for fractional backward stochastic differential inclusions, have been proven through fractional calculus, Bohnenblust-Karlin Theorem, and appropriate conditions.

DOI

10.55730/1300-0098.3597

Keywords

Approximate controllability, backward stochastic differential inclusions, fractional calculus, mild solution, multivalued maps.

First Page

397

Last Page

410

Publisher

The Scientific and Technological Research Council of Türkiye (TÜBİTAK)

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Included in

Mathematics Commons

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