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Vallée-Poussin theorem for fractional functional differential equations with integral boundary condition
This research paper focuses on the study of a Riemann-Liouville fractional functional differential equation and a linear continuous operator acting...
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On Hyers-Ulam-Rassias Stability of a Volterra-Hammerstein Functional Integral Equation
The aim of this paper is to study the Hyers-Ulam-Rassias stability for a Volterra-Hammerstein functional integral equation in three variables via...
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On Chandrasekhar functional integral inclusion and Chandrasekhar quadratic integral equation via a nonlinear Urysohn–Stieltjes functional integral inclusion
We investigate the existence of solutions for a nonlinear integral inclusion of Urysohn–Stieltjes type. As applications, we give a Chandrasekhar...
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A Numerical Approach Based on Modified Lucas Wavelets for Functional Variational Problems Through Integral Operational Matrix
The present work introduces an approximated numerical technique for functional variational problems (FVPs) with mixed boundary conditions which are...
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On refined rational convex contractions with applications to matrix and implicit functional integral equations
This research presents an advancement in fixed point theory by extending the renowned Banach contractive condition and introducing the new convex...
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Admissible Integral Manifolds for Partial Neutral Functional-Differential Equations
We prove the existence and attraction property for admissible invariant unstable and center-unstable manifolds of admissible classes of solutions to...
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Piecewise Linear Price Function of a Differential Game with Simple Dynamics and Integral Terminal Price Functional
In this paper, we consider an antagonistic differential game of two persons with dynamics described by a differential equation with simple motions...
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Application of fixed point theorem on the study of the existence of solutions in some fractional stochastic functional integral equations
In this paper, the conditions for the existence of a solution for fractional stochastic functional integral in Banach space are investigated. For...
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Inverse Source Problem for the Subdiffusion Equation on a Metric Star Graph with Integral Overdetermination Condition
AbstractIn this article, it is investigated the inverse source problem for the subdiffusion equation on the metric star graph in Sobolev space with...
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Existence results for the families of multi-map**s with applications to integral and functional equations
The aim of this manuscript is to prove some new fixed-point results for the two families of multivalued dominated-contractive maps defined on a...
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Classification and Applications of Randomized Functional Numerical Algorithms for the Solution of Second-Kind Fredholm Integral Equations
Systematization of numerical randomized functional algorithms for approximation of solutions to second-kind Fredholm integral equation is performed...
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Numerical methods for forward fractional Feynman–Kac equation
Fractional Feynman–Kac equation governs the functional distribution of the trajectories of anomalous diffusion. The non-commutativity of the integral...
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A Difference Scheme for Wave Equation
AbstractThe paper deals with a numerical solution of a wave equation. The solution algorithm uses optimal parameters which are obtained by using...
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Higher Regularity and Finite Time Blow-up to Nonlocal Pseudo-parabolic Equation with Conical Degeneration
This paper deals with the initial-boundary value problem to a nonlocal semilinear pseudo-parabolic equation with conical degeneration, which has been...
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Solvability for generalized nonlinear two dimensional functional integral equations via measure of noncompactness
In this article, we provide the existence result for functional integral equations by using Petryshyn’s fixed point theorem connecting the measure of...
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On a Forward and a Backward Stochastic Euler Equation
We derive a stochastic Euler equation with transport noise and terminal time condition from a variational principle and relate it to the...
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Solvability for two dimensional functional integral equations via Petryshyn’s fixed point theorem
This paper aims to use the Petryshyn’s fixed point theorem associated with the measure of non-compactness to prove the existence of solutions of...
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Investigation of the Existence Criteria for the Solution of the Functional Integral Equation in the \(L^{p}\) Space
This work manifests the credibility of Darbo’s fixed point theory towards the solvability of nonlinear functional convolution integral equation with...
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Mean Curvature Flow and Low Energy Solutions of the Parabolic Allen-Cahn Equation on the Three-Sphere
In this article, we study eternal solutions to the Allen-Cahn equation in the 3-sphere, in view of the connection between the gradient flow of the...
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On the Extremum Control Problem with Pointwise Observation for a Parabolic Equation
AbstractIn this paper we consider a control problem with pointwise observation for a one-dimensional parabolic equation which arises in a...