- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 7 Issue: 1
- A new sequential proportional fractional derivative of hybrid di?erential equations with nonlocal hy...
A new sequential proportional fractional derivative of hybrid di?erential equations with nonlocal hybrid condition
Authors : Hamıd BEDDANI, Beddani MOUSTAFA, Saada HAMOUDA
Pages : 148-161
Doi:10.31197/atnaa.1122002
View : 60 | Download : 121
Publication Date : 2023-03-31
Article Type : Research Article
Abstract :In this paper, we study the existence of solutions for a new problem of hybrid differential equations with nonlocal integro multi point boundary conditions by using the proportional fractional derivative. The presented results are obtained by using hybrid fixed point theorems for three Dhage operators. The application of theoretical conclusions is demonstrated through an example.Keywords : Hybrid fixed point theorems, , Proportional fractional derivative, , Existence of solution.