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.
E. M. ELSAYED
,
S. HARIKRISHNAN
,
K. KANAGARAJAN
. ON THE EXISTENCE AND STABILITY OF BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH HILFER-KATUGAMPOLA FRACTIONAL DERIVATIVE[J]. Acta mathematica scientia, Series B, 2019
, 39(6)
: 1568
-1578
.
DOI: 10.1007/s10473-019-0608-5
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