$\varphi$-Caputo fractional integro-differential equations with nonlocal conditions via noncompactness measure

Chefnaj, Najat; Taqbibt, Abdellah; Hilal, Khalid; ELomari, M'hamed

doi:10.22034/cmde.2025.62509.2761

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	$\varphi$-Caputo fractional integro-differential equations with nonlocal conditions via noncompactness measure
Computational Methods for Differential Equations
مقاله 28، دوره 14، شماره 3، مهر 2026، صفحه 1458-1470 اصل مقاله (458.94 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2025.62509.2761
نویسندگان
Najat Chefnaj^* ؛ Abdellah Taqbibt؛ Khalid Hilal؛ M'hamed ELomari
Applied Mathematics and Scientific Computing Laboratory, Sultan Moulay Slimane University, FST, Beni Mellal, Morocco.
چکیده
This article aims to prove the existence and uniqueness of solutions to fractional integro-differential equations involving the $\varphi$-Caputo fractional derivative with nonlocal conditions. The results are obtained using the measure of noncompactness, probability density functions, M\"{o}nch's fixed point theorem, and semigroup theory. To demonstrate the applicability and effectiveness of the results, an illustrative example is presented.
کلیدواژه‌ها
$\phi$-Caputo fractional derivative؛ Semigroup theory؛ Measure of noncompactness؛ M‎\"{o}‎nch's fixed point theorem؛ Integro-differential equations؛ Nonlocal conditions

مراجع
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$\varphi$-Caputo fractional integro-differential equations with nonlocal conditions via noncompactness measure