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Lyapunov type inequality in the frame of Generalized caputo derivatives

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Date

2021

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Abstract

In this paper, we establish the Lyapunov-type inequality for bound- A ry value problems involving generalized Caputo fractional derivatives that unite the Caputo and Caputo-Hadamrad fractional derivatives. An applica-tion about the zeros of generalized types of Mittag-Leffler functions is given. © 2021 American Institute of Mathematical Sciences. All rights reserved.

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Fractional Boundary Value Problems, Fractional Eigenvalue Problems, Generalized Fractional Derivatives, Generalized Fractional Integrals, Generalized Mittag-Leffler Function Type, Genralized Caputo Fractional Derivatives, Green's Function, Lyapunov Type Inequality, Nontrivial Solutions, Zeros

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Jarad, Fahd...et al. (2021). "Lyapunov type inequality in the frame of Generalized caputo derivatives", Discrete and Continuous Dynamical Systems - Series S, Vol. 14, No. 7, pp. 2335-2355.

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Discrete and Continuous Dynamical Systems - Series S

Volume

14

Issue

7

Start Page

2335

End Page

2355