SOLVABILITY OF LIOUVILLE-CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH NON-LOCAL GENERALIZED FRACTIONAL INTEGRAL BOUNDARY CONDITIONS

Autor: M. Subramanian*1 & T. Nandha Gopal2
Rok vydání: 2019
Předmět:
DOI: 10.5281/zenodo.2639752
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.
Databáze: OpenAIRE