SOME NEW EXISTENCE RESULTS FOR BOUNDARY VALUE PROBLEMS INVOLVING [psi]-CAPUTO FRACTIONAL DERIVATIVE

• Published in: TWMS journal of applied and engineering mathematics Vol. 13; no. 1; p. 246
• Main Authors: Afshari, H, Abdo, M. S, Sahlan, M. N
• Format: Journal Article
• Language: English
• Published: Istanbul Turkic World Mathematical Society 01.01.2023; Elman Hasanoglu
• Subjects: Boundary value problems; Fixed point theory; Fixed points (mathematics); Mathematical research; Mathematics; Operators (mathematics); Iran
• ISSN: 2146-1147; 2146-1147

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) = [psi](t) - [psi](s) and the derivative operator 1/[psi]'(t) d/dt. Some exis...