Variational principles in the frame of certain generalized fractional derivatives
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Date
2020
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Open Access Color
GOLD
Green Open Access
No
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Top 10%
Abstract
In this article, we study generalized fractional derivatives that contain kernels depending on a function on the space of absolute continuous functions. We generalize the Laplace transform in order to be applicable for the generalized fractional integrals and derivatives and apply this transform to solve some ordinary differential equations in the frame of the fractional derivatives under discussion.
Description
Keywords
Euler-Lagrange Equations, Generalized Caputo Fractional Derivatives, Generalized Fractional Derivatives, Integration By Parts, generalized Caputo fractional derivatives, Existence theories for optimal control problems involving ordinary differential equations, Fractional derivatives and integrals, generalized fractional derivatives, integration by parts, Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control, Fractional ordinary differential equations, Euler-Lagrange equations, Optimality conditions for problems involving ordinary differential equations
Fields of Science
0103 physical sciences, 0101 mathematics, 01 natural sciences
Citation
Jarad, Fahd; Abdeljawad, Thabet (2020). "Variational principles in the frame of certain generalized fractional derivatives", Discrete and Continuous Dynamical Systems - Series S, Vol. 13, No. 3, pp. 695-708.
WoS Q
Q3
Scopus Q
Q2
OpenCitations Citation Count
5
Source
Discrete and Continuous Dynamical Systems - Series S
Volume
13
Issue
3
Start Page
695
End Page
708
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CrossRef : 1
Scopus : 15
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Mendeley Readers : 2
