Abstract
This paper investigates a boundary value problem of Caputo type sequential fractional differential equations supplemented with nonlocal Riemann-Liouville fractional integral boundary conditions. Some existence results for the given problem are obtained via standard tools of fixed point theory and are well illustrated with the aid of examples. Some special cases are also presented.
Highlights
The subject of fractional calculus has received great attention in the last two decades
Recent work on fractional differential equations supplemented with a variety of initial and boundary conditions clearly reflects an overwhelming interest in the subject; for instance, see [ – ] and the references cited therein
The tools of fractional calculus have considerably improved the mathematical modeling of many real world problems
Summary
The subject of fractional calculus has received great attention in the last two decades. Some more recent results concerning fractional boundary value problems can be found in a series of papers [ – ]. In [ , ], the authors studied sequential fractional differential equations with different kinds of boundary conditions.
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