Abstract
We establish sufficient conditions for the existence of solutions of an integral boundary value problem for a Ψ-Hilfer fractional integro-differential equations with non-instantaneous impulsive conditions. The main results are proved with a suitable fixed point theorem. An example is given to interpret the theoretical results. In this way, we generalize recent interesting results.
Subject
Statistics and Probability,Statistical and Nonlinear Physics,Analysis
Reference45 articles.
1. Asawasamrit, S., Thadang, Y., Ntouyas, S.K., and Tariboon, J. (2021). Non-instantaneous impulsive boundary value problems containing Caputo fractional derivative of a function with respect to another function and Riemann-Stieltjes fractional integral boundary conditions. Axioms, 10.
2. Fractional Integro-Differential Equations Involving Ψ-Hilfer Fractional Derivative;Abdo;Adv. Appl. Math. Mech.,2019
3. On new existence results for fractional integro-differential equations with impulsive and integral conditions;Anguraj;Comput. Math. Appl.,2014
4. Non-instantaneous impulses in Caputo fractional differential equations;Agarwal;Fract. Calc. Appl. Anal.,2017
5. Fractional boundary value problem with Ψ-Caputo fractional derivative;Abdo;Proc. Indian Acad. Sci. Sci.,2019
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献