Abstract
In this paper, we study a class of boundary value problem (BVP) with multiple point boundary conditions of impulsive p-Laplacian operator fractional differential equations. We establish the sufficient conditions for the existence of solutions in Banach spaces. Our analysis relies on the Kuratowski noncompactness measure and the Sadovskii fixed point theorem. An example is given to demonstrate the main results.
Highlights
With the development of the theory of fractional order calculus, fractional differential equations are getting more and more extensively used
We study a class of boundary value problem (BVP) with multiple point boundary conditions of impulsive p-Laplacian operator fractional differential equations
The impulsive fractional differential equations are widely used in various scientific fields, such as the problem of dynamics of populations subject to abrupt changes, harvesting, diseases, and so on
Summary
With the development of the theory of fractional order calculus, fractional differential equations are getting more and more extensively used (see[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15]). The p-Laplacian operator differential equation was first proposed by Leibenson [19] in order to study the problem of turbulent flow in a porous medium. The results about the BVP with multiple point boundary conditions of impulsive p-Laplacian operator fractional differential equations are few, especially in Banach space. We study the following BVP with multiple point boundary conditions of impulsive p-Laplacian operator fractional differential equations in Banach space E: Dβ0+ (φp (Dα0+x)) (t) = f (t, x (t) , x (t)) , 1 < α ≤ 2, 0 < β ≤ 1, Δx (t)|t=tk = Ik (x (tk)) , Δx (t)t=tk = Jk (x (tk)) ,.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
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 callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
