Solvability of fractional boundary value problems for a combined caputo derivative
Yükleniyor...
Dosyalar
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Prof. Dr. Mehmet Zeki SARIKAYA
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This paper deals with a class of boundary value problems of fractional differential equations involving the combined Caputo derivative, which can reflect both the past and the future nonlocal memory effects. This fractional derivative is a convex combination of the left and right Caputo fractional derivative of different order. By using the fractional Gronwall-type inequalities and some fixed point theorems, we have established some sufficient conditions for the existence and uniqueness of solutions for fractional boundary value problems with the combined Caputo fractional derivative. Various examples are given to illustrate the applications of the results.
Açıklama
Anahtar Kelimeler
Combined Caputo derivative, Existence, Fixed point
Kaynak
Konuralp Journal of Mathematics
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
9
Sayı
1
