EXISTENCE, UNIQUENESS AND SUCCESSIVE APPROXIMATIONS FOR (λ, ψ)-HILFER FRACTIONAL DIFFERENTIAL EQUATIONS
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Date
2024
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Politechnica University of Bucharest
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Abstract
The focus of this paper is on investigating a particular type of nonlinear (λ, ψ)-Hilfer fractional differential equations, and analyzing their existence results. Our approach involves utilizing Banach’s fixed point theorem, and we also explore the global convergence of successive approximations to provide additional insights into the topic. To further illustrate our findings, we provide some examples that supplement our main results. © 2024, Politechnica University of Bucharest. All rights reserved.
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(λ, ψ)-Hilfer fractional derivative, existence, fixed point, fractional differential equations, global convergence, Implicit differential equations, successive approxima-tions
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Q3
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Q3
Source
UPB Scientific Bulletin, Series A: Applied Mathematics and Physics
Volume
86
Issue
3
Start Page
15
End Page
28