Results 11 to 20 of about 2,566,738 (350)
Numerical solution for fractional Bratu’s initial value problem
Open Physics, 2017 In this paper, a method for solving fractional Bratu’s initial value problem (FBIVP) is presented. The main idea behind this work is the use of the Bezier curve method (BCM). To show the efficiency of the developed method, numerical results are presented.
Ghomanjani Fateme, Shateyi Stanford
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On the initial value problem for a class of nonlinear biharmonic equation with time-fractional derivative [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2021 In this study, we investigate the intial value problem (IVP) for a time-fractional fourth-order equation with nonlinear source terms. More specifically, we consider the time-fractional biharmonic with exponential nonlinearity and the time-fractional Cahn–
Anh Tuan Nguyen, T. Caraballo, N. Tuan
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, 2021 In this paper, we study an initial value problem for a class of impulsive implicit-type fractional differential equations (FDEs) with proportional delay terms.
Arshad Ali +4 more
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Axioms, 2020 In this article, we discuss the existence and uniqueness of extremal solutions for nonlinear initial value problems of fractional differential equations involving the ψ -Caputo derivative. Moreover, some uniqueness results are obtained.
C. Derbazi +3 more
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The Initial Value Problem for the Euler Equations of Incompressible Fluids Viewed as a Concave Maximization Problem [PDF]
Communications in Mathematical Physics, 2017 We consider the Euler equations of incompressible fluids (Arnold and Khesin in Topological methods in hydrodynamics, Springer, Berlin, 1998; Lions in Mathematical topics in fluid mechanics, vol 1.
Y. Brenier
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The initial value problem as it relates to numerical relativity [PDF]
Reports on progress in physics. Physical Society, 2016 Spacetime is foliated by spatial hypersurfaces in the 3+1 split of general relativity. The initial value problem then consists of specifying initial data for all fields on one such a spatial hypersurface, such that the subsequent evolution forward in ...
W. Tichy
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A Fitted Scheme for a Caputo Initial-Boundary Value Problem [PDF]
Journal of Scientific Computing, 2018 In this paper we consider an initial-boundary value problem with a Caputo time derivative of order α∈(0,1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage ...
J. Gracia, E. O'Riordan, M. Stynes
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Initial-value problems and signature change [PDF]
Classical and Quantum Gravity, 1996 We make a rigorous study of classical field equations on a 2-dimensional signature changing spacetime using the techniques of operator theory. Boundary conditions at the surface of signature change are determined by forming self-adjoint extensions of the Schr dinger Hamiltonian.
L. J. Alty +2 more
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The initial-boundary value problem for the biharmonic Schrödinger equation on the half-line [PDF]
Communications on Pure and Applied Analysis, 2018 We study the local and global wellposedness of the initial-boundary value problem for the biharmonic Schr\"odinger equation on the half-line with inhomogeneous Dirichlet-Neumann boundary data. First, we obtain a representation formula for the solution of
Turker Ozsari, N. Yolcu
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Mathematics, 2019 The semigroup properties of the Riemann–Liouville fractional integral have played a key role in dealing with the existence of solutions to differential equations of fractional order.
Shuqin Zhang, Lei Hu
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