Popis: |
We investigate a Liouville-Caputo fractional integro-differential equations (LCFIDEs) with nonlinearities which depends on the lower order fractional derivative of the unknown functions and also fractional integral of the unknown functions supplemented with non-local generalized Riemann-Liouville fractional integral (GRLFI) boundary conditions. The existence and uniqueness results are endorsed by LeraySchauder nonlinear alternative, and Banach fixed point theorem. Sufficient examples have also been supplemented to substantiate the proof and also we have discuss some variates of the given problem. |