Some new existence results for boundary value problems involving ψ-Caputo fractional derivative
Künye
Afshari, H., Abdo, M. S. & Nosrati Sahlan, M. (2023). Some new existence results for boundary value problems involving ψ-Caputo fractional derivative. TWMS Journal Of Applied And Engineering Mathematics, 13(1), 246-255.Özet
This paper concerns the boundary value problem for a fractional differential equation involving a generalized Caputo fractional derivative in b−metric spaces. The used fractional operator is given by the kernel k(t, s) = ψ(t) − ψ(s) and the derivative operator 1/ψʹ(t) d/dt . Some existence results are obtained based on fixed point theorem of α-φ−Graghty contraction type mapping. In the end, we provide some illustrative examples to justify the acquired results.
Kaynak
TWMS Journal Of Applied And Engineering MathematicsCilt
13Sayı
1Bağlantı
https://hdl.handle.net/11729/5218http://jaem.isikun.edu.tr/web/index.php/current/118-vol13no1/960
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