Nonlinear Sequential Riemann-Liouville and Caputo Fractional Differential Equations with Nonlocal and Integral Boundary Conditions

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Suphawat Asawasamrit, Nawapol Phuangthong, Sotiris K. Ntouyas, Jessada Tariboon, Nonlinear Sequential Riemann-Liouville and Caputo Fractional Differential Equations with Nonlocal and Integral Boundary Conditions, Int. J. Anal. Appl., 17 (1) (2019), 47-63.

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Suphawat Asawasamrit, Nawapol Phuangthong, Sotiris K. Ntouyas, Jessada Tariboon

Abstract

In this paper, we discuss the existence and uniqueness of solutions for a new class of sequential fractional differential equations of Riemann-Liouville and Caputo types with nonlocal integral boundary conditions, by using standard fixed point theorems. We also demonstrate the application of the obtained results with the aid of examples.

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