SOME NEW EXISTENCE RESULTS FOR BOUNDARY VALUE PROBLEMS INVOLVING psi-CAPUTO FRACTIONAL DERIVATIVE
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS(2023)
摘要
This paper concerns the boundary value problem for a fractional differential equation involving a generalized Caputo fractional derivative in b spaces. The used fractional operator is given by the kernel k(t; s) = psi(t) - psi(s) and the derivative operator 1/psi'(t) d/dt. Some existence results are obtained based on fixed point theorem of alpha-phi-Graghty contraction type mapping. In the end, we provide some illustrative examples to justify the acquired results.
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关键词
psi-Caputo fractional derivative, Boundary value problem (BVP), alpha-phi-Geraghty contractive type mapping, Fixed point (FP)
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