Analysis and Numerical Solution of the Generalized Proportional Fractional Cauchy Problem
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Date
2021
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Open Access Color
Green Open Access
No
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No
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Impulse
Top 10%
Influence
Average
Popularity
Top 10%
Abstract
In this paper, we explore the existence and uniqueness theorem for a problem of the fractional Cauchy form, with dependence on the generalized proportional Caputo derivative. Furthermore, a new numerical technique is presented based on a decomposition formula for the generalized proportional Caputo derivative. Convergence analysis of the proposed technique is proved. Finally, numerical results are obtained to confirm the validity of the proposed method. (C) 2021 IMACS. Published by Elsevier reserved.
Description
Nagy, A. M./0000-0003-4335-6990; Ben Makhlouf, Abdellatif/0000-0001-7142-7026
Keywords
Fractional Differential Equations, Generalized Proportional Fractional Derivative, fractional differential equations, Fractional ordinary differential equations, generalized fractional derivative, Numerical methods for initial value problems involving ordinary differential equations
Fields of Science
0103 physical sciences, 0101 mathematics, 01 natural sciences
Citation
Boucenna, Djalal...et al. (2021). "Analysis and numerical solution of the generalized proportional fractional Cauchy problem", Applied Numerical Mathematics, Vol. 167, pp. 173-186.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
12
Source
Applied Numerical Mathematics
Volume
167
Issue
Start Page
173
End Page
186
PlumX Metrics
Citations
CrossRef : 9
Scopus : 16
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Mendeley Readers : 2
SCOPUS™ Citations
16
checked on Feb 23, 2026
Web of Science™ Citations
14
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Page Views
2
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