Feedback Volterra control of integro-differential equations

Pepe, Gianluca; Paifelman, Elena; Carcaterra, Antonio

doi:10.1080/00207179.2022.2109513

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Cited by 2 publications

References 51 publications

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Analytical Fluid-Structure Coupled Model for Oscillatory Fish-Like Propulsion

Paifelman,

Riccardi,

Ciappi

2023

Preprint

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Analytical Fluid-Structure Coupled Model for Oscillatory Fish-Like Propulsion

Paifelman,

Riccardi,

Ciappi

2023

Preprint

View full text Add to dashboard Cite

On the Ulam stability and existence of $ L^p $-solutions for fractional differential and integro-differential equations with Caputo-Hadamard derivative

Anwar,

Murad

2024

MMC

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<p>In this paper, we investigate the existence and uniqueness of $ L^p $-solutions for nonlinear fractional differential and integro-differential equations with boundary conditions using the Caputo-Hadamard derivative. By employing Hölder's inequality together with the Krasnoselskii fixed-point theorem and the Banach contraction principle, the study establishes sufficient conditions for solving nonlinear problems. The paper delves into preliminary results, the existence and uniqueness of $ L^p $ solutions to the boundary value problem, and presents the Ulam-Hyers stability. Furthermore, it investigates the existence, uniqueness, and stability of solutions for fractional integro-differential equations. Through standard fixed-points and rigorous mathematical frameworks, this research contributes to the theoretical foundations of nonlinear fractional differential equations. Also, the Adomian decomposition method ($ {\mathcal{ADM}} $) is used to construct the analytical approximate solutions for the problems. Finally, examples are given that illustrate the effectiveness of the theoretical results.</p>

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Feedback Volterra control of integro-differential equations

Cited by 2 publications

References 51 publications

Analytical Fluid-Structure Coupled Model for Oscillatory Fish-Like Propulsion

Analytical Fluid-Structure Coupled Model for Oscillatory Fish-Like Propulsion

On the Ulam stability and existence of $ L^p $-solutions for fractional differential and integro-differential equations with Caputo-Hadamard derivative

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