Sequential fractional differential equations with nonlocal integro-multipoint boundary conditions


Bashir Ahmad, Ymnah Alruwaily, Ahmed Alsaedi, Sotiris K Ntouyas




This paper is concerned with the existence and uniqueness of solutions for sequential Caputo fractional differential equation equipped with integro multipoint boundary conditions. In the proposed problem, the nonlinearity depends on the unknown function as well as its lower order fractional derivatives. We apply standard fixed point theorems to obtain the desired results, which are well-illustrated with the aid of examples .