Title of article :
Existence results for hybrid fractional differential equations with Hilfer fractional derivative
Author/Authors :
Vivek ، D. Department of Mathematics - Sri Ramakrishna Mission Vidyalaya College of Arts and Science , Baghani ، O. Department of Mathematics - Sri Ramakrishna Mission Vidyalaya College of Arts and Science , Kanagarajan ، k Department of Mathematics - Sri Ramakrishna Mission Vidyalaya College of Arts and Science
Abstract :
This paper investigates the solvability, existence and uniqueness of solutions for a class of nonlinear fractional hybrid differential equations with Hilfer fractional derivative in a weighted normed space. The main result is proved by means of a fixed point theorem due to Dhage. An example to illustrate the results is included.
Keywords :
Hybrid fractional differential equations , Initial value problem , Hilfer fractional derivative , Fixed point theorem , Existence and uniqueness
Journal title :
Caspian Journal of Mathematical Sciences (CJMS)
Journal title :
Caspian Journal of Mathematical Sciences (CJMS)
