Fuzzy neutral fractional integro-differential equation existence and stability results involving the Caputo fractional generalized Hukuhara derivative
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Aziz El Ghazouani
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Fouad Ibrahim Abdou Amir
Abstract
In this paper, we investigate the existence and uniqueness solutions for a fuzzy Neutral fractional integro-differential equation with non-local conditions. First, we show the existence of solutions with the help of the Non-linear alternative for one-value function, as well as Krasnoselskii’s and Banach’s fixed point theorems. Moreover, we examine the generalized Ulam Hyers (GUH) and Ulam Hyers Rassias stability for our main problem. Finally, an example is presented to show the usability of our major results.
Acknowledgment
The author would like to express his heartfelt gratitude to the editors and reviewers for their constructive comments.
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Research ethics: Not applicable.
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Author contributions: All authors discussed the results and contributed to the final manuscript.
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Competing interests: All authors declare that they have no conflicts of interest.
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Research funding: This study got no explicit support from any government, advertisement, or non-profit organization.
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Data availability: Sharing information is not relevant to this paper since no sets of data were created or analysed within the present investigation.
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Articles in the same Issue
- Frontmatter
- Research Articles
- New LMI constraint-based settling-time estimation for finite-time stability of fractional-order neural networks
- A spatial model to understand tuberculosis granuloma formation and its impact on disease progression
- Oscillatory nonlinear thermal instability in nanoliquid under gravity modulation within Hele-Shaw cell
- Fuzzy neutral fractional integro-differential equation existence and stability results involving the Caputo fractional generalized Hukuhara derivative
- A mathematical model to study herbal and modern treatments against COVID-19
- Study of explicit travelling wave solutions of nonlinear (2 + 1)-dimensional Zoomeron model in mathematical physics
