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Sequential fractional differential equations and inclusions with semi-periodic and nonlocal integro-multipoint boundary conditions

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Abstract This paper is concerned with the existence of solutions for Caputo type sequential fractional differential equations and inclusions supplemented with semi-periodic and nonlocal integro-multipoint boundary conditions involving Riemann-Liouville integral.… Click to show full abstract

Abstract This paper is concerned with the existence of solutions for Caputo type sequential fractional differential equations and inclusions supplemented with semi-periodic and nonlocal integro-multipoint boundary conditions involving Riemann-Liouville integral. We make use of standard fixed point theorems for single-valued and multivalued maps to obtain the desired results. Examples are constructed for the illustration of the main results.

Keywords: periodic nonlocal; fractional differential; sequential fractional; equations inclusions; differential equations; semi periodic

Journal Title: Journal of King Saud University - Science
Year Published: 2019

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