Abstract
In this work, we explore the existence results for the hybrid Caputo–Hadamard fractional boundary value problem (CH-FBVP). The inclusion version of the proposed BVP with a three-point hybrid Caputo–Hadamard terminal conditions is also considered and the related existence results are provided. To achieve these goals, we utilize the well-known fixed point theorems attributed to Dhage for both BVPs. Moreover, we present two numerical examples to validate our analytical findings.
Highlights
Fractional differential equations are utilized for mathematical modeling of real life problems
Many researchers have been attracted by fractional hybrid differential equations and inclusions with terminal conditions [3,4,5,6]
We conclude from the above result that the solution for the hybrid Caputo–Hadamard fractional differential inclusion exists provided that the stated conditions hold
Summary
Fractional differential equations are utilized for mathematical modeling of real life problems. Baleanu et al [20] studied the existence criteria and significance of the solution for a new kind of hybrid inclusion problem of fractional order,. The thermostat includes or excludes heat based on the temperature exposed by the sensor at = ζ by using this second order approach They applied a fixed point criteria on Hammerstein integral equations to obtain the existence results for the above BVP. G : E × < → < \ {0} are continuous functions They studied the related hybrid Caputo inclusion model of a fractional order for a thermostat system, as given below:. The main motivation behind this work is that there are no research manuscripts based on the authors’ knowledge on the problems involving Caputo–Hadamard hybrid fractional boundary conditions.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
