On the solutions of fractional boundary value problems for a combined caputo fractional differential equations

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Küçük Resim

Tarih

2023

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this paper, a new class of fractional boundary value problem with the combined Caputo derivative is proposed and the physical interpretation of this new derivative has been explained. Under some assumptions, the positive solutions of the fractional differential equation with the help of Leray-Schauder and Krasnoselskii’s fixed point theorems in a cone have been investigated. Moreover, the solution of the fractional Maxwell models involving the combined Caputo derivative by using the extended Laplace transform is obtained. Finally, some examples are given to support theoretical findings

Açıklama

Anahtar Kelimeler

Positive solutions, Fractional differential equation, Combined caputo derivative, Fractional Maxwell model

Kaynak

Contemporary Mathematics

WoS Q Değeri

N/A

Scopus Q Değeri

Cilt

4

Sayı

2

Künye

Toprakseven, Ş. (2023). On The Solutions of Fractional Boundary Value Problems for a Combined Caputo Fractional Differential Equations. Contemporary Mathematics, 202-216.