# Caputo-Hadamard fractional differential equation with impulsive boundary conditions

Document Type : Research Article

Authors

1 Department of Mathematics and Scienti fic Computing, National Institute of Technology, Hamirpur, HP-177005, India

2 Department of Mathematics and Computer Science, Sri Sathya Sai Institute of Higher Learning, Prasanthi Nilayam(A.P.) - 515134, India

Abstract

This manuscript is concerned about the study of the existence and uniqueness of solutions for fractional differential equation involving Caputo Hadamard fractional operator of order $1 < \vartheta \leq 2$  with impulsive boundary conditions. The existence results are established firstly through the Banach Contraction Principle and then using Schauder's fixed point theorem. We present some examples to demonstrate the application of our main results.

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