EXISTENCE OF SOLUTIONS TO A BOUNDARY VALUE PROBLEM OF HYBRID FRACTIONAL DIFFERENTIAL EQUATIONS USING DEGREE METHOD

Abstract

The main purpose of this research paper is to prove the existence of solution to the hybrid differential equation of order which satisfied some growth conditions. The concerned results are obtained via using prior estimate method known as topological degree method. In order to prove the existence of fixed point for We prove this by using condensing and boundness for T

Keywords

• Hybrid initial value problem
• k-condensing
• existence of fixed point without compactness theorem
• Caputo fractional derivative