We formulate and prove a non-local ``maximum principle for semicontinuous functions'' in the setting of fully nonlinear degenerate elliptic integro-partial differential equations with integro operators of second order. Similar results have been used implicitly by several researchers to obtain comparison/uniqueness results for integro-partial ...
Jakobsen, Espen R., Karlsen, Kenneth H.
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A parabolic transform and averaging methods for integro-partial differential equations
Mahmoud M. El-Borai +2 more
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This research investigates the theoretical foundations and computational implementation of the Double ZZ Transform (DZZT) for solving nonlinear integro-partial differential equations. By establishing the transform's existence theorem and core properties, this study provides a systematic approach to handling non-homogeneous models.
Djelloul Ziane +3 more
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Banach Contraction Method to Solve Partial Integral-differential Equations
In this paper, Banach contraction method was used to solve linear and nonlinear partial integra differential equations of Volterra type and compared them with exact solutions to demonstrate accuracy of the proposed method.
Hiba Shuker Mahmood, Ahmed F. Qasim
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Remarks on a New Variable-Coefficient Integro-Differential Equation via Inverse Operators
In this paper, we investigate functional inverse operators associated with a class of fractional integro-differential equations. We further explore the existence, uniqueness, and stability of solutions to a new integro-differential equation featuring ...
Chenkuan Li, Nate Fingas, Ying Ying Ou
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Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three
In this article, we study the Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three, of hyperbolic type, using Bielecki norm.
Marian Daniela +2 more
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Haar wavelets method for solving class of coupled systems of linear fractional Fredholm integro-differential equations. [PDF]
Darweesh A, Al-Khaled K, Al-Yaqeen OA.
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Dynamical analysis and exact solitary wave solutions of [Formula: see text]-dimensional integro-differential Jaulent-Miodek equation using two analytical schemes. [PDF]
Nasir B +5 more
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A numerical approach to fractional Volterra-Fredholm integro-differential problems using shifted Chebyshev spectral collocation. [PDF]
Hamood MM, Sharif AA, Ghadle KP.
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Analytical investigation of soliton propagation in conformable fractional-order transmission line metamaterials. [PDF]
Almetwally EM +5 more
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