RESEARCH ARTICLE
Existence study of semilinear fractional differential equations and inclusions for multi–term problem under Riemann–Liouville operators
Elhabib Hadjadj,
Safia Meftah,
Abdallah Bensayah,
Brahim Tellab,
Elhabib Hadjadj
Laboratoire de la théorie des opérateurs et EDP, Université Echahid Hamma Lakhdar, El-Oued, Algérie
Search for more papers by this authorSafia Meftah
Laboratoire de la théorie des opérateurs et EDP, Université Echahid Hamma Lakhdar, El-Oued, Algérie
Search for more papers by this authorAbdallah Bensayah
Laboratoire de Mathématiques Appliquées, Université Kasdi Merbah, Ouargla, Algérie
Search for more papers by this authorCorresponding Author
Brahim Tellab
Laboratoire de Mathématiques Appliquées, Université Kasdi Merbah, Ouargla, Algérie
Correspondence
Brahim Tellab, Laboratoire de Mathématiques Appliquées, Université Kasdi Merbah, BP511, Ouargla 30000, Algérie.
Email: [email protected]
Communicated by: D. Baleanu
Search for more papers by this authorElhabib Hadjadj,
Safia Meftah,
Abdallah Bensayah,
Brahim Tellab,
Elhabib Hadjadj
Laboratoire de la théorie des opérateurs et EDP, Université Echahid Hamma Lakhdar, El-Oued, Algérie
Search for more papers by this authorSafia Meftah
Laboratoire de la théorie des opérateurs et EDP, Université Echahid Hamma Lakhdar, El-Oued, Algérie
Search for more papers by this authorAbdallah Bensayah
Laboratoire de Mathématiques Appliquées, Université Kasdi Merbah, Ouargla, Algérie
Search for more papers by this authorCorresponding Author
Brahim Tellab
Laboratoire de Mathématiques Appliquées, Université Kasdi Merbah, Ouargla, Algérie
Correspondence
Brahim Tellab, Laboratoire de Mathématiques Appliquées, Université Kasdi Merbah, BP511, Ouargla 30000, Algérie.
Email: [email protected]
Communicated by: D. Baleanu
Search for more papers by this authorFirst published: 15 December 2022
Abstract
In the present paper, we study the existence and uniqueness of the solution for multi–term fractional boundary value problem under Riemann–Liouville fractional operators by using Banach's fixed point theorem. Afterward, we investigate some existence results for a semilinear fractional differential inclusions multi–term problem by using some notions and properties on set-valued maps together with classical fixed point theorems due to Leray–Schauder. The cases when the set-valued function has convex as well as nonconvex values are considered. Finally, some examples are given to illustrate our main results.
CONFLICT OF INTEREST
This work does not have any conflicts of interest.
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