Title of article :
Caputo-Hadamard fractional differential equation with impulsive boundary conditions
Author/Authors :
Nain, Ankit Kumar Department of Mathematics and Scienti fic Computing - National Institute of Technology, India , Kumar Vats, Ramesh Department of Mathematics and Scienti fic Computing - National Institute of Technology, India , Kumar, Avadhesh Department of Mathematics and Computer Science - Sri Sathya Sai Institute of Higher Learning, 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<ϑ≤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.
Keywords :
Boundary value problem , fixed point theorem , Caputo-Hadamard fractional derivative , impulses
Journal title :
Journal of Mathematical Modeling(JMM)
