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2011, Graduate studies in mathematics, ISBN 0821852841, Volume 123, xvii, 410
Book
2016, De Gruyter studies in mathematics, ISBN 3110483394, Volume 64., ix, 516 pages
Book
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2011, Volume 382, Issue 1, pp. 426 - 447
We consider initial value/boundary value problems for fractional diffusion-wave equation: ∂ t α u ( x , t ) = L u ( x , t ) , where 0 < α ⩽ 2 , where L is a... 
Fractional diffusion equation | Initial value/boundary value problem | Well-posedness | Inverse problem | MATHEMATICS | MATHEMATICS, APPLIED | INTEGRODIFFERENTIAL EQUATION | SPACES | HEAT-EQUATION | Universities and colleges
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 01/2017, Volume 262, Issue 1, pp. 506 - 558
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 2011, Volume 61, Issue 11, pp. 3381 - 3390
An explicit optimized Runge–Kutta–Nyström method with four stages and fifth algebraic order is developed. The produced method has variable coefficients with... 
Runge–Kutta–Nyström methods | Initial value problems | Phase-lag | Numerical solution | Explicit methods | Amplification factor | RungeKuttaNystrm methods | Runge-Kutta-Nystrom methods | MATHEMATICS, APPLIED
Journal Article
2006, 1st ed., Mathematics in science and engineering, ISBN 9780444522009, Volume 205, 502
This book introduces the method of lower and upper solutions for ordinary differential equations. This method is known to be both easy and powerful to solve... 
Boundary value problems | Functional differential equations
eBook
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2012, Volume 385, Issue 1, pp. 111 - 124
In this paper, we analyze several different types of discrete sequential fractional boundary value problems. Our prototype equation is − Δ μ 1 Δ μ 2 Δ μ 3 y (... 
Boundary value problem | Cone | Discrete fractional calculus | Sequential fractional difference | Positive solution | EXISTENCE | SYSTEM | MATHEMATICS | MATHEMATICS, APPLIED | EQUATIONS | MULTIPLE POSITIVE SOLUTIONS | INITIAL-VALUE PROBLEMS
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 09/2017, Volume 50, Issue 39, p. 395204
In this paper, we implement the Fokas method in order to study initial boundary value problems of the coupled modified Korteweg-de Vries equation formulated on... 
Riemann-Hilbert problem | integrable system | initial-boundary value problem | Dirichlet to Neumann map | coupled modified Korteweg-de Vries equation | UNIFIED TRANSFORM METHOD | PHYSICS, MULTIDISCIPLINARY | SINE-GORDON EQUATION | EVOLUTION-EQUATIONS | NONLINEAR SCHRODINGER-EQUATION | PHYSICS, MATHEMATICAL
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 2011, Volume 217, Issue 24, pp. 10387 - 10395
In this paper, the variational iteration method (VIM) is used to study the singular Emden–Fowler initial value problems and boundary value problems arising in... 
Boundary singularity | Emden–Fowler problems | Iterative method | Emden-Fowler problems | VARIATIONAL ITERATION METHOD | MATHEMATICS, APPLIED | IVPS | ALGORITHM | ADOMIAN DECOMPOSITION METHOD | EQUATION | Origins | Boundary value problems | Singularities | Lagrange multipliers | Mathematical analysis | Initial value problems | Mathematical models | Convergence
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 02/2018, Volume 364, pp. 27 - 61
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2010, Volume 367, Issue 1, pp. 260 - 272
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 09/2019, Volume 357, pp. 228 - 250
In this paper, we suggest a technique to avoid order reduction in time when integrating reaction–diffusion boundary value problems under non-homogeneous... 
Order reduction | Initial boundary value problem | Exponential splitting | MATHEMATICS, APPLIED
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 09/2018, Volume 332, pp. 148 - 159
In this work, we investigate the two-component modified Korteweg-de Vries (mKdV) equation, which is a complete integrable system, and accepts a generalization... 
Initial-boundary value problem | Unified transform method | Two-component mKdV equation | Riemann–Hilbert problem | MATHEMATICS, APPLIED | Riemann-Hilbert problem | SOLITON-SOLUTIONS | EVOLUTION-EQUATIONS | NONLINEAR SCHRODINGER-EQUATION | KDV
Journal Article
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