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On impulsive nonlocal integro-initial value problems involving multi-order Caputo-type generalized fractional derivatives and generalized fractional integrals
In this paper, we present sufficient criteria ensuring the existence and uniqueness of
solutions for nonlinear impulsive multi-order Caputo-type generalized fractional
differential equations supplemented with nonlocal integro-initial value conditions
involving generalized fractional integrals. Extremal solutions for the given problem are
also discussed. The main tools of our study include Krasnoselskii’s fixed point
theorem, Banach contraction mapping principle and monotone iterative technique.
Examples are constructed for illustrating the obtained resultsThis project was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, Saudi Arabia under grant no. (RG-1-130-39)S