Abstract
In this paper, we used Henstock–Kurzweil–Pettis integral instead of classical integrals. Using fixed point theorem and weak measure of noncompactness, we study the existence of weak solutions of boundary value problem for fractional integro-differential equations in Banach spaces. Our results generalize some known results. Finally, an example is given to demonstrate the feasibility of our conclusions.
Acknowledgements
The authors wish to thank the referees for their endeavors and valuable comments. This work is supported by National Natural Science Foundation of China (Funder Id: http://dx.doi.org/10.13039/ 501100001809, 11661071).
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Articles in the same Issue
- Frontmatter
- Original Research Articles
- Solution of a Moving Boundary Problem for Soybean Hydration by Numerical Approximation
- Comparison between 2D and 3D Simulation of Contact of Two Deformable Axisymmetric Bodies
- Weak Solutions for Fractional Differential Equations via Henstock–Kurzweil–Pettis Integrals
- Soliton Solutions for Some Nonlinear Partial Differential Equations in Mathematical Physics Using He’s Variational Method
- Application of the Euler and Runge–Kutta Generalized Methods for FDE and Symbolic Packages in the Analysis of Some Fractional Attractors
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- An Avant-Garde Handling of Temporal-Spatial Fractional Physical Models
- Existence, Uniqueness and UHR Stability of Solutions to Nonlinear Ordinary Differential Equations with Noninstantaneous Impulses
- A Study on Impulsive Hilfer Fractional Evolution Equations with Nonlocal Conditions
- Unique Solution for Multi-point Fractional Integro-Differential Equations
Articles in the same Issue
- Frontmatter
- Original Research Articles
- Solution of a Moving Boundary Problem for Soybean Hydration by Numerical Approximation
- Comparison between 2D and 3D Simulation of Contact of Two Deformable Axisymmetric Bodies
- Weak Solutions for Fractional Differential Equations via Henstock–Kurzweil–Pettis Integrals
- Soliton Solutions for Some Nonlinear Partial Differential Equations in Mathematical Physics Using He’s Variational Method
- Application of the Euler and Runge–Kutta Generalized Methods for FDE and Symbolic Packages in the Analysis of Some Fractional Attractors
- Dynamical Analysis of a Fractional-Order Hantavirus Infection Model
- An Avant-Garde Handling of Temporal-Spatial Fractional Physical Models
- Existence, Uniqueness and UHR Stability of Solutions to Nonlinear Ordinary Differential Equations with Noninstantaneous Impulses
- A Study on Impulsive Hilfer Fractional Evolution Equations with Nonlocal Conditions
- Unique Solution for Multi-point Fractional Integro-Differential Equations