EXISTENCE, UNIQUENESS AND SUCCESSIVE APPROXIMATIONS FOR (λ, ψ)-HILFER FRACTIONAL DIFFERENTIAL EQUATIONS

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2024

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Univ Politehnica Bucharest, Sci Bull

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Mathematics
(2000)
The Atılım University Department of Mathematics was founded in 2000 and it offers education in English. The Department offers students the opportunity to obtain a certificate in Mathematical Finance or Cryptography, aside from their undergraduate diploma. Our students may obtain a diploma secondary to their diploma in Mathematics with the Double-Major Program; as well as a certificate in their minor alongside their diploma in Mathematics through the Minor Program. Our graduates may pursue a career in academics at universities, as well as be hired in sectors such as finance, education, banking, and informatics. Our Department has been accredited by the evaluation and accreditation organization FEDEK for a duration of 5 years (until September 30th, 2025), the maximum FEDEK accreditation period achievable. Our Department is globally and nationally among the leading Mathematics departments with a program that suits international standards and a qualified academic staff; even more so for the last five years with our rankings in the field rankings of URAP, THE, USNEWS and WEBOFMETRIC.

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The focus of this paper is on investigating a particular type of nonlinear (lambda, psi)-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.

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Implicit differential equations, fractional differential equations, (lambda, psi)-Hilfer fractional derivative, existence, fixed point, global convergence, successive approximations

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0

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Q3

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Q3

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Volume

86

Issue

3

Start Page

15

End Page

28

URI

https://hdl.handle.net/20.500.14411/8931

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