The Role of Generalized β−J Contraction Mappings in Neutrosophic Metric Spaces and Its Applications
Abstract and Applied AnalysisMSC2020 Classification: 47H10, 45D05 ...
M. Pandiselvi +2 more
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An initial-boundary value problem for the one-dimensional non-classical heat equation in a slab
Boundary Value Problems, 2011 Nonlinear problems for the one-dimensional heat equation in a bounded and homogeneous medium with temperature data on the boundaries x = 0 and x = 1, and a uniform spatial heat source depending on the heat flux (or the temperature) on the boundary x = 0 ...
Salva Natalia +2 more
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International Journal of Apllied Mathematics, 2022 In this paper we introduce a new approach for numerical solution of nonlinear Volterra integral equation of second kinds. This numerical solution is based on the Laplace transform and Adomian Decomposition Method by using He’s polynomials.
N. Ahmad, B. Singh
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Local attractivity for integro-differential equations with noncompact semigroups
Nonautonomous Dynamical Systems, 2020 In this paper, we are devoted to study the existence and local attractivity of solutions for a class of integro-differential equations.Under the situation that the nonlinear term satisfy Carathéodory conditions and a noncompactness measure condition, we ...
Diop Amadou +3 more
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About Dirichlet boundary value problem for the heat equation in the infinite angular domain
Boundary Value Problems, 2014 In this paper it is established that in an infinite angular domain for Dirichlet problem of the heat conduction equation the unique (up to a constant factor) non-trivial solution exists, which does not belong to the class of summable functions with the ...
Muvasharkhan he Jenaliyev +3 more
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Non-standard Volterra integral equations: a mean-value theorem numerical approach
, 2020 In this paper, we present a novel and flexible numerical method to solve non-standard Volterra integral equations of the second kind. Starting from the mean-value theorem for integrals we give theoretical results that allow associating to each Volterra ...
P. Angelis +3 more
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On the existence and uniqueness of solution to Volterra equation on a time scale
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 Using a global inversion theorem we investigate properties of the following ...
Kluczyński Bartłomiej
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Coupled system of a fractional order differential equations with weighted initial conditions
Open Mathematics, 2019 Here, a coupled system of nonlinear weighted Cauchy-type problem of a diffre-integral equations of fractional order will be considered. We study the existence of at least one integrable solution of this system by using Schauder fixed point Theorem.
El-Sayed Ahmed M. A. +1 more
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A nonstandard Volterra integral equation on time scales
Demonstratio Mathematica, 2019 This paper introduces the more general result on existence, uniqueness and boundedness for solutions of nonstandard Volterra type integral equation on an arbitrary time scales.
Reinfelds Andrejs, Christian Shraddha
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NUMERICAL SCHEMES FOR SOLVING VOLTERRA INTEGRAL EQUATIONS WITH CARLEMAN KERNEL
International Journal of Apllied Mathematics, 2018 Three numerical schemes, namely: Toeplitz Matrix meth-od, Product Nystrom method and Sinc-Collocation method have been proposed and implemented to give an approximate solution of the linear Volterra integral equation of the second kind with Carleman ...
W. Draidi, N. Qatanani
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