Results 11 to 20 of about 1,126,411 (268)
Solving higher order Fuchs type differential systems avoiding the increase of the problem dimension
International Journal of Mathematics and Mathematical Sciences, 1994 In this paper, we develop a Frobenius matrix method for solving higher order systems of differential equations of the Fuchs type. Generalized power series solution of the problem are constructed without increasing the problem dimension.
E. Navarro, L. Jódar, R. Company
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Photonic Sensors, 2018 Starting from the basic equations describing the evolution of the carriers and photons inside a semiconductor optical amplifier (SOA), the equation governing pulse propagation in the SOA is derived.
Xiaofei Jia
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Mathematics, 2023 The delay differential equations are of great importance in real-life phenomena. A special type of these equations is the Pantograph delay differential equation.
Abdulrahman B. Albidah +3 more
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A Proposed Analytical and Numerical Treatment for the Nonlinear SIR Model via a Hybrid Approach
Mathematics, 2023 This paper re-analyzes the nonlinear Susceptible–Infected–Recovered (SIR) model using a hybrid approach based on the Laplace–Padé technique. The proposed approach is successfully applied to extract several analytic approximations for the infected and ...
Abdulrahman B. Albidah
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Series Solution of a Functional Equation [PDF]
Journal of the Australian Mathematical Society, 1965 In this we will study analytic solutions to the linear functional equationwherefandhare given functions, x is a given complex number and the function g is to be found. This is a generalization of Schröder's functional equation. The results obtained are global in nature and the solutions holomorphic.
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Coplanar Maneuvers Transfer for Mission Design with Lowest ∆ʋ using Series Solution [PDF]
Kirkuk Journal of Science, 2015 Orbital maneuver transfer time is traditionally accomplished using direct numerical sampling to find the mission design with the lowest delta-ʋ requirements.
Mayada J. Hamwdi +2 more
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SERIES SOLUTION OF LAPLACE PROBLEMS [PDF]
The ANZIAM Journal, 2018 At the ANZIAM conference in Hobart in February 2018, there were several talks on the solution of Laplace problems in multiply connected domains by means of conformal mapping. It appears to be not widely known that such problems can also be solved by the elementary method of series expansions with coefficients determined by least-squares fitting on the ...
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On series solutions of Volterra equations [PDF]
Applied Mathematics and Computation, 2006 41 ...
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The Fractional Laguerre Equation: Series Solutions and Fractional Laguerre Functions
Frontiers in Applied Mathematics and Statistics, 2019 In this paper, we propose a fractional generalization of the well-known Laguerre differential equation. We replace the integer derivative by the conformable derivative of order 0 < α < 1. We then apply the Frobenius method with the fractional power
Rasha Shat +5 more
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Theory and application for the time fractional Gardner equation with Mittag-Leffler kernel
Journal of Taibah University for Science, 2019 In this work, the time fractional Gardner equation is presented as a new fractional model for Atangana–Baleanu fractional derivative with Mittag-Leffler kernel. The approximate consequences are analysed by applying a recurrent process.
Zeliha Korpinar +3 more
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