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Dergiler / Results in Nonlinear Analysis / 2026 / 2022 - Cilt 5, Sayı 4

Existence of mild solutions for semilinear $\psi-$Caputo-type fractional evolution equations with nonlocal conditions in Banach spaces

Ali El Mfadel(Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University)0000-0002-2479-1762
Fatima Ezzahra Bourhim(Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University)
M'hamed Elomari(Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University)
Sayfa
459–472
Yayın Tarihi
2022-12-30
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As application, a nontrivial example is given to illustrate our theoretical results.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The main crux of this manuscript is to establish the existence of mild solutions for a class of semilinear $\psi-$Caputo-type fractional evolution equations in Banach spaces with non-local conditions.
📊
Temel Bulgular & Veri:The proofs are based on some fixed point theorems, compact semigroup and some basic concepts of $\psi-$fractional analysis.
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Sonuç & Katkı:As application, a nontrivial example is given to illustrate our theoretical results.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:$\psi-$fractional integral · $\psi-$Caputo fractional derivative · fixed point

Abstract

The main crux of this manuscript is to establish the existence of mild solutions for a class of semilinear $\psi-$Caputo-type fractional evolution equations in Banach spaces with non-local conditions. The proofs are based on some fixed point theorems, compact semigroup and some basic concepts of $\psi-$fractional analysis. As application, a nontrivial example is given to illustrate our theoretical results.

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Bu Makaleye Atıf Yap

Mfadel, A. E., Bourhim, F. E., Elomari, M. (2022). Existence of mild solutions for semilinear $\psi-$Caputo-type fractional evolution equations with nonlocal conditions in Banach spaces. Results in Nonlinear Analysis, 2022 - Cilt 5, Sayı 4, 459–472. https://doi.org/10.53006/rna.1121916

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