Initial boundary value problems for some damped nonlinear conservation laws
Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this paper, we study the non-negative solutions of initial boundary value problems for some damped nonlinear conservation laws on the half line modelled by first order nonlinear hyperbolic PDEs.
Manoj Yadav
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Solving linear and nonlinear problems using Taylor series method
Open Computer ScienceThe article deals with the solution of technical initial value problems. To solve such problems, an analytical or numerical approach is possible. The analytical approach can provide an accurate result; however, it is not available for all problems and it
Veigend Petr +2 more
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A new Bihari inequality and initial value problems of first order fractional differential equations. [PDF]
Fract Calc Appl Anal, 2023 Lan K, Webb JRL.
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On solving initial value problems for partial differential equations in maple. [PDF]
BMC Res Notes, 2021 Thota S.
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High-Accuracy Spectral-like Legendre–Darboux Method for Initial Value Problems
MathematicsA high-order single-step implicit method, the Legendre–Darboux Method of order six (LDM6), is introduced for solving both linear and nonlinear initial value problems.
Mohammad W. Alomari
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Numerical solution for system of fractional initial value problems
Discover Applied SciencesThis study presents a numerical solution for systems of fractional initial value problems. It play a crucial role in various scientific and engineering fields, offering more accurate models for real-world phenomena involving memory and hereditary effects.
Mathewos Gizaw Gibo +2 more
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Initial-value problems for hybrid Hadamard fractional differential equations
Electronic Journal of Differential Equations, 2014 In this article, we discuss the existence of solutions for an initial-value problem of nonlinear hybrid differential equations of Hadamard type. The main result is proved by means of a fixed point theorem due to Dhage.
Bashir Ahmad, Sotiris K. Ntouyas
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Lucas polynomials semi-analytic solution for fractional multi-term initial value problems
Advances in Difference Equations, 2019 Herein, we use the generalized Lucas polynomials to find an approximate numerical solution for fractional initial value problems (FIVPs). The method depends on the operational matrices for fractional differentiation and integration of generalized Lucas ...
Mahmoud M. Mokhtar, Amany S. Mohamed
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Nonlinear initial boundary-value problems with Riesz fractional derivative
Electronic Journal of Differential Equations, 2015 We consider an initial boundary-value problem for a nonlinear partial differential equation with fractional derivative of Riesz type on a half-line.
Martin P. Arciga-Alejandre
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On the solutions of a nonlinear system of q-difference equations
Boundary Value ProblemsIn this paper, we examine the existence and uniqueness of solutions for a system of the first-order q-difference equations with multi-point and q-integral boundary conditions using various fixed point (fp) theorems.
Nihan Turan +2 more
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