Lyapunov Type Inequality in the Frame of Generalized Caputo Derivatives
No Thumbnail Available
Date
2021
Journal Title
Journal ISSN
Volume Title
Publisher
Amer inst Mathematical Sciences-aims
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Average
Influence
Average
Popularity
Top 10%
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.
Description
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, fractional boundary value problems, generalized Caputo fractional derivatives, Nonlinear boundary value problems for ordinary differential equations, generalized fractional integrals, Fractional ordinary differential equations, Green's function, fractional eigenvalue problems, Mittag-Leffler functions and generalizations, Lyapunov type inequality, nontrivial solutions, generalized fractional derivatives, zeros, Boundary eigenvalue problems for ordinary differential equations, generalized Mittag-Leffler function type
Turkish CoHE Thesis Center URL
Fields of Science
0101 mathematics, 01 natural sciences
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.
WoS Q
Q3
Scopus Q
Q2
OpenCitations Citation Count
2
Source
Discrete and Continuous Dynamical Systems - Series S
Volume
14
Issue
7
Start Page
2335
End Page
2355
PlumX Metrics
Citations
CrossRef : 2
Scopus : 10
Captures
Mendeley Readers : 1
SCOPUS™ Citations
10
checked on Feb 03, 2026
Web of Science™ Citations
8
checked on Feb 03, 2026
Page Views
2
checked on Feb 03, 2026
Google Scholar™
