Author:
Hammad Hasanen A.,Zayed Mohra
Abstract
AbstractIn this work, we investigate two types of boundary value problems for a system of coupled Atangana–Baleanu-type fractional differential equations with nonlocal boundary conditions. The fractional derivatives are applied to serve as a nonlocal and nonsingular kernel. The existence and uniqueness of solutions for proposed problems using Krasnoselskii’s and Banach’s fixed-point approaches are established. Moreover, nonlinear analysis is used to build the Ulam–Hyers stability theory. Subsequently, we discuss two compelling examples to demonstrate the utility of our study.
Funder
the Deanship of Scientific Research at King Khalid University, Saudi Arabia.
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
Reference35 articles.
1. Podlubny, I.: Fractional Differential Equations. Academic Press, San Diego (1999)
2. Samko, S.G., Kilbas, A.A., Marichev, O.I.: Fractional Integrals and Derivatives. Gordon & Breach, Yverdon (1993)
3. North Holland Mathematics Studies;A.A. Kilbas,2006
4. Gumah, G.N., Naser, M.F., Al-Smadi, M., Al-Omari, S.K.: Application of reproducing kernel Hilbert space method for solving second-order fuzzy Volterra integro-differential equations. Adv. Differ. Equ. 2018, 475 (2018)
5. Al-Omari, S.K.Q., Baleanu, D.: Quaternion Fourier integral operators for spaces of generalized quaternions. Math. Methods Appl. Sci. 41(18), 9477–9484 (2018)
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