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Lyapunov type inequality in the frame of Generalized caputo derivatives

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Date

2021

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Amer inst Mathematical Sciences-aims

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Matematik
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Abstract

In this paper, we establish the Lyapunov-type inequality for boundary value problems involving generalized Caputo fractional derivatives that unite the Caputo and Caputo-Hadamrad fractional derivatives. An application about the zeros of generalized types of Mittag-Leffler functions is given.

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

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Citation

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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Q2

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Discrete and Continuous Dynamical Systems - Series S

Volume

14

Issue

7

Start Page

2335

End Page

2355