Results 11 to 20 of about 480,745 (178)

Fractional Crank-Nicolson-Galerkin Finite Element Methods for Nonlinear Time Fractional Parabolic Problems with Time Delay

Journal of Function Spaces, 2021
A linearized numerical scheme is proposed to solve the nonlinear time-fractional parabolic problems with time delay. The scheme is based on the standard Galerkin finite element method in the spatial direction, the fractional Crank-Nicolson method, and ...
Lili Li, Mianfu She, Yuanling Niu
doaj   +2 more sources

A comprehensive analysis for weakly singular nonlinear functional Volterra integral equations using discretization techniques

Alexandria Engineering Journal
This study investigates weakly singular nonlinear functional Volterra integral equations (WSNFVIEs) of Urysohn type involving Riemann–Liouville operator.
Imtiyaz Ahmad Bhat, Lakshmi Narayan Mishra, Vishnu Narayan Mishra, Mahmoud Abdel-Aty, Montasir Qasymeh   +4 more
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Some new Gronwall-Bihari type inequalities associated with generalized fractional operators and applications [PDF]

, 2022
In this paper, we derive some generalizations of certain Grönwall-Bihari type inequality for generalized fractional operators unifying Riemann-Liouville and Hadamard fractional operators for functions in one variable, which provide explicit bounds on ...
Boukerrioua, Khaled, Ayari, Amira
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PURSUIT-EVASION DIFFERENTIAL GAMES WITH THE GRÖNWALL TYPE CONSTRAINTS ON CONTROLS [PDF]

, 2020
A simple pursuit-evasion differential game of one pursuer and one evader is studied. The players' controls are subject to differential constraints in the form of the integral Grönwall inequality.
Ibragimov, Gafurjan, Khodjibayeva, Iroda V., Samatov, Bahrom T., Iroda V. Khodjibayeva, Bahrom T. Samatov, Gafurjan Ibragimov   +5 more
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Conformal scattering of the Maxwell-scalar field system on de Sitter space [PDF]

, 2023
We prove small data energy estimates of all orders of differentiability between past null infinity and future null infinity of de Sitter space for the conformally invariant Maxwell-scalar field system.

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Oscillation in deviating differential equations using an iterative method [PDF]

, 2017
summary:Sufficient oscillation conditions involving $\limsup $ and $\liminf $ for first-order differential equations with non-monotone deviating arguments and nonnegative coefficients are obtained.
Jadlovská, Irena, Chatzarakis, George E., G. E. Chatzarakis   +2 more
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A Second-Order Time Discretization for Second Kind Volterra Integral Equations with Non-Smooth Solutions

, 2023
In this paper, a novel second-order method based on a change of variable and the symmetrical and repeated quadrature formula is presented for numerical solving second kind Volterra integral equations with non-smooth solutions.
Boya Zhou, Xiujun Cheng
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Socialtjänsten och vuxentvånget [PDF]

, 1980
Frågan om tvångsvård av vuxna missbrukare torde vara det senaste decenniets mest kontro­versiella fråga på det sociala och socialmedi­cinska området.
Grönwall, Lars
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Global Well‐Posedness of the Three‐Dimensional Primitive Equations with Only Horizontal Viscosity and Diffusion [PDF]

, 2016
In this paper, we consider the initial boundary value problem of the three-dimensional primitive equations for planetary oceanic and atmospheric dynamics with only horizontal eddy viscosity in the horizontal momentum equations and only horizontal ...
Titi, Edriss S, Jinkai Li, Cao, Chongsheng, Li, Jinkai, Chongsheng Cao, Edriss S. Titi   +5 more
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On the Hyers-Ulam Stability of Differential Equations of Second Order

Abstract and Applied Analysis, 2014
By using of the Gronwall inequality, we prove the Hyers-Ulam stability of differential equations of second order with initial conditions.
Qusuay H. Alqifiary, Soon-Mo Jung
doaj   +1 more source