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Title
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Efficient results on fractional Langevin-Sturm-Liouville problem via generalized Caputo-Atangana-Baleanu derivatives
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Type
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JournalPaper
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Keywords
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Fractional Atangana-Baleanu operator; generalized Sturm-Liouville problem; Langevin problem; Ulam-Hyers stability
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Abstract
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In this paper, we investigate the generalized Langevin-Sturm-Liouville differential problems involving Caputo-Atangana-Baleanu fractional derivatives of higher orders with respect to another positive, increasing function denoted by $\rho$. The fixed point theorems in the framework of Kransnoselskii and Banach are utilized to discuss the existence and uniqueness of the results. In addition, the stability criteria of Ulam-Hyers and generalize Ulam-Hyers are investigated by non-linear analysis besides fractional calculus. Finally, illustrative examples are reinforced by tables and graphics to describe the main achievements.
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Researchers
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Miguel Vivas-Cortez (Fifth Researcher), Imed Kedim (Fourth Researcher), Mohammad Esmael Samei (Third Researcher), Abdelatif Boutiara (Second Researcher), Sabri T. M. Thabet (First Researcher)
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