Abstract
We investigate some new class of hybrid type fractional differential equations and inclusions via some nonlocal three-point boundary value conditions. Also, we provide some examples to illustrate our results.
Highlights
1 Introduction In the last two decades, the notion of initial and boundary value problems of fractional order has received considerable attention due to its extensive developments and numerous applications connected with natural phenomena in the real world
Motivated by the above-mentioned works, we investigate a new class of fractional hybrid differential equations and inclusions
It is noted that the fractional differential equation and inclusion of hybrid type presented in this paper are elementary and new in the sense that the boundary value conditions are as nonlocal three-point integral hybrid conditions
Summary
In the last two decades, the notion of initial and boundary value problems of fractional order has received considerable attention due to its extensive developments and numerous applications connected with natural phenomena in the real world. Sun et al [39] defined the two-point boundary value problem of fractional hybrid differential equation In 2016, Baleanu et al [13] discussed the existence theorems for the fractional hybrid differential inclusion cD0p∗ The existence theorem for the above hybrid inclusion problem is proved by using Dhage’s fixed point theorem for multi-valued maps.
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