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Dergiler / Konuralp Journal of Mathematics / 2021 / Cilt: 9 - Sayı: 1

Solvability of Fractional Boundary Value Problems for a Combined Caputo Derivative

Şuayip TOPRAKSEVEN
Sayfa
119–126
Yayın Tarihi
2021-04-28
DOI
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Various examples are given to show the applications of the results.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:This paper deals with a class of boundary value problems of the combined Caputo fractional differential equations.
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Temel Bulgular & Veri:The main feature of the combined Caputo fractional derivative is that it holds both left and right nonlocal memory effects.
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Sonuç & Katkı:Various examples are given to show the applications of the results.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Combined Caputo derivative · Existence · Fixed point

Abstract

This paper deals with a class of boundary value problems of the combined Caputo fractional differential equations. The main feature of the combined Caputo fractional derivative is that it holds both left and right nonlocal memory effects. By using the fractional Gronwall-type inequalities and some fixed point theorems, we established some necessary conditions for the existence of solutions. Various examples are given to show the applications of the results.

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Bu Makaleye Atıf Yap

TOPRAKSEVEN, Ş. (2021). Solvability of Fractional Boundary Value Problems for a Combined Caputo Derivative. Konuralp Journal of Mathematics, Cilt: 9 - Sayı: 1, 119–126. https://ajindex.com/articles/786405

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