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Journals / Advances in the Theory of Nonlinear Analysis and its Application / 2026 / Cilt: 5 Sayı: 2

Katugampola Fractional Differential Equation with Erdelyi-Kober Integral Boundary Conditions

Naas Adjimi(Ghardaia university)0000-0001-6595-0830
Maamar Benbachır(Université Saad Dahlab Blida1)0000-0003-3519-1153
Pages
215–228
Publication Date
2021-06-30
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⚡ TL;DR(Too Long; Didn't Read)

Four examples are given in order to clarify theoretical results.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we study the existence and uniqueness of solutions for nonlinear fractional Katugampola differential equation with Erdely-Kober fractional integral conditions, new existence and uniqueness results are established using Banach's contraction principle, nonlinear contractions, Krasnoselskii's and Leray-Schauder's fixed theorems.
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Key Findings & Data:In this paper, we study the existence and uniqueness of solutions for nonlinear fractional Katugampola differential equation with Erdely-Kober fractional integral conditions, new existence and uniqueness results are established using Banach's contraction principle, nonlinear contractions, Krasnoselskii's and Leray-Schauder's fixed theorems.
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Conclusion & Impact:Four examples are given in order to clarify theoretical results.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Katugampola Fractional Derivative · Erdelyi-Kober Fractional integral · Boundary value problem

Abstract

In this paper, we study the existence and uniqueness of solutions for nonlinear fractional Katugampola differential equation with Erdely-Kober fractional integral conditions, new existence and uniqueness results are established using Banach's contraction principle, nonlinear contractions, Krasnoselskii's and Leray-Schauder's fixed theorems. Four examples are given in order to clarify theoretical results.

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Cite This Article

Adjimi, N., Benbachır, M. (2021). Katugampola Fractional Differential Equation with Erdelyi-Kober Integral Boundary Conditions. Advances in the Theory of Nonlinear Analysis and its Application, Cilt: 5 Sayı: 2, 215–228. https://doi.org/10.31197/atnaa.711191

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