On the Caputo-Hadamard fractional IVP with variable order using the upper-lower solutions technique

• Published in: AIMS mathematics Vol. 8; no. 3; pp. 5484 - 5501
• Main Authors: Bouazza, Zoubida, Souhila, Sabit, Etemad, Sina, Souid, Mohammed Said, Akgül, Ali, Rezapour, Shahram, De la Sen, Manuel
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2023
• Subjects: caputo-hadamard fractional derivative; existence results; fractional variable order; upper-lower solutions

This paper studies the existence of solutions for Caputo-Hadamard fractional nonlinear differential equations of variable order (CHFDEVO). We obtain some needed conditions for this purpose by providing an auxiliary constant order system of the given CHFDEVO. In other words, with the help of piece-wi...