On the existence and stability of boundary value problem for differential equation with Hilfer-Katugampola fractional derivative. (English) Zbl 1499.34045
Summary: In this paper, we discuss the existence, uniqueness and stability of boundary value problem for differential equation with Hilfer-Katugampola fractional derivative. The arguments are based upon Schaefer’s fixed point theorem, Banach contraction principle and Ulam type stability.
MSC:
| 34A08 | Fractional ordinary differential equations |
| 26A33 | Fractional derivatives and integrals |
| 34B15 | Nonlinear boundary value problems for ordinary differential equations |
References:
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