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Abstract
In this paper, we study the existence of solutions of a boundary value problem (BVP) for a class of impulsive fractional differential systems (IFDS) involving the Hadamard fractional derivatives by constructing a weighted Banach space and a completely continuous operator and using the fixed point theorem in the Banach space (Theorem 3.1). An example is given to illustrate the efficiency of the main theorems. The investigation shows that these results and methods are helpful for study in the nonlinear area and the numerical simulation. A section “Conclusions” is given with future work research directions.
How to Cite this Article:
Yuji Liu, Existence of solutions of BVPs for a class of IFDSS on half line involving Hadamard fractional derivatives, Journal of Nonlinear Functional Analysis 2016 (2016), Article ID 26.