Positive solvability for conjugate fractional differential inclusion of (k, n − k) type without continuity and compactness

Abstract

The monotonicity of multi-valued operators serves as a guideline to prove the existence of the results in this article. This theory focuses on the existence of solutions without continuity and compactness conditions. We study these results for the (k, n − k) conjugate fractional differential inclusion type with λ > 0, 1 ≤ k ≤ n − 1.