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Journals / Advances in the Theory of Nonlinear Analysis and its Application / 2026 / Cilt: 6 Sayı: 2

Existence results for nonlocal Cauchy problem of nonlinear $\psi-$Caputo type fractional differential equations via topological degree methods

Alı El Mfadel(Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University)0000-0002-2479-1762
Said Melliani(Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University)0000-0002-5150-1185
Elomari M'hamed(Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University)
Pages
270–279
Publication Date
2022-06-30
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

As application, a nontrivial example is given to illustrate our theoretical results.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This manuscript is devoted to the investigation of the existence results of fractional Cauchy problem for some nonlinear ψ−Caputo fractional differential equations with non local conditions.
📊
Key Findings & Data:By applying fixed point theorems, some results of topological degree theory for condensing maps and some fractional analysis techniques, we establish some new existence theorems.
💡
Conclusion & Impact:As application, a nontrivial example is given to illustrate our theoretical results.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:$\psi-$fractional integral · $\psi-$Caputo fractional derivative · fixed point

Abstract

This manuscript is devoted to the investigation of the existence results of fractional Cauchy problem for some nonlinear ψ−Caputo fractional differential equations with non local conditions. By applying fixed point theorems, some results of topological degree theory for condensing maps and some fractional analysis techniques, we establish some new existence theorems. As application, a nontrivial example is given to illustrate our theoretical results.

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Cite This Article

Mfadel, A. E., Melliani, S., M'hamed, E. (2022). Existence results for nonlocal Cauchy problem of nonlinear $\psi-$Caputo type fractional differential equations via topological degree methods. Advances in the Theory of Nonlinear Analysis and its Application, Cilt: 6 Sayı: 2, 270–279. https://doi.org/10.31197/atnaa.1059793

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