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Dergiler / Advances in the Theory of Nonlinear Analysis and its Application / 2026 / Cilt: 6 Sayı: 1

Analysis of a fractional boundary value problem involving Riesz-Caputo fractional derivative

Abdellatif Boutiara(Universite de ghardaia)0000-0002-6032-4694
Naas Adjimi(Universite de ghardaia)
Maamar Benbachır(Universite de blida)0000-0003-3519-1153
Mohammed Abdo(Hodeidah)0000-0001-9085-324X
Sayfa
14–27
Yayın Tarihi
2022-03-31
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Some examples are given to illustrate our acquired results.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:This paper concerned with study the existence and uniqueness of solutions for a class of fractional differential equations with boundary conditions involving the Riesz-Caputo type fractional derivatives.
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Temel Bulgular & Veri:We apply the methods of functional analysis such that the uniqueness result is established using the Banach contraction principle, whereas existence results are obtained using Schaefer's and Krasnoslkii's fixed theorems.
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Sonuç & Katkı:Some examples are given to illustrate our acquired results.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Riesz-Caputo derivative · Boundary value problem · fixed point theorem

Abstract

This paper concerned with study the existence and uniqueness of solutions for a class of fractional differential equations with boundary conditions involving the Riesz-Caputo type fractional derivatives. We apply the methods of functional analysis such that the uniqueness result is established using the Banach contraction principle, whereas existence results are obtained using Schaefer's and Krasnoslkii's fixed theorems. Some examples are given to illustrate our acquired results.

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Bu Makaleye Atıf Yap

Boutiara, A., Adjimi, N., Benbachır, M., Abdo, M. (2022). Analysis of a fractional boundary value problem involving Riesz-Caputo fractional derivative. Advances in the Theory of Nonlinear Analysis and its Application, Cilt: 6 Sayı: 1, 14–27. https://doi.org/10.31197/atnaa.927938

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