ON THE ULAM-HYERS-RASSIAS STABILITY FOR A BOUNDARY VALUE PROBLEM OF IMPLICIT [psi]-CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION

The main purpose of this paper is to study the existence and uniqueness of a nonlinear implicit [psi]-Caputo fractional order integro-differential boundary value problem using Schauder's and Banach's fixed point theorems. Besides, we study its stability using Ulam-Hyers-Rassias stability t...

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Bibliographic Details
Published inTWMS journal of applied and engineering mathematics Vol. 14; no. 1; p. 79
Main Authors Awad, Y, Kaddoura, I
Format Journal Article
LanguageEnglish
Published Istanbul Turkic World Mathematical Society 01.01.2024
Elman Hasanoglu
Subjects
Analysis
Banach spaces
Boundary value problems
Differential equations
Fixed points (mathematics)
Green's functions
Integral equations
Mathematical functions
Mathematics
Physics
Stability
Theorems
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ISSN2146-1147
2146-1147

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Summary:The main purpose of this paper is to study the existence and uniqueness of a nonlinear implicit [psi]-Caputo fractional order integro-differential boundary value problem using Schauder's and Banach's fixed point theorems. Besides, we study its stability using Ulam-Hyers-Rassias stability type. Finally, we demonstrate our main findings, with a particular case example included to show the significance of our results. Keywords: Implicit fractional-orders differential equation, [psi]-Caputo derivative, existence results, boundary value problems, Green's function, Ulam stability. AMS Subject Classification: Primary 26A33; Secondary 34K45, 47G10.
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content type line 14
ISSN:2146-1147
2146-1147