Abstract
In this paper, we investigate a boundary value problem for fractional differential equations with fractional derivative condition. Some new existence results are obtained using Banach contraction principle and Leray–Schauder nonlinear alternative.
Highlights
1 Introduction Differential equations of fractional order have recently been addressed by many researchers of various fields of science and engineering such as physics, chemistry, biology, economics, control theory, and biophysics
Fractional differential equations serve as an excellent tool for the description of memory and hereditary properties of various materials and processes
The existence of solutions to fractional boundary value problems is under strong research, see [10,19,21] and references therein
Summary
Differential equations of fractional order have recently been addressed by many researchers of various fields of science and engineering such as physics, chemistry, biology, economics, control theory, and biophysics. The existence of solutions to fractional boundary value problems is under strong research, see [10,19,21] and references therein. Gorenflo et al in [8] presented some general results for the fractional boundary value problems. They dealt with boundary value problems for pseudo-differential equations with the operator:
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