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Lyapunov Type Inequality in the Frame of Generalized Caputo Derivatives

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2021

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Amer inst Mathematical Sciences-aims

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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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Keywords

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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Q2
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OpenCitations Citation Count
2

Source

Discrete and Continuous Dynamical Systems - Series S

Volume

14

Issue

7

Start Page

2335

End Page

2355
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CrossRef : 2

Scopus : 9

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Mendeley Readers : 1

SCOPUS™ Citations

9

checked on Nov 24, 2025

Web of Science™ Citations

8

checked on Nov 24, 2025

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0.4592246

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4

QUALITY EDUCATION
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9

INDUSTRY, INNOVATION AND INFRASTRUCTURE
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10

REDUCED INEQUALITIES
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