Results 1 to 10 of about 100,496 (301)
Results in Applied Mathematics, 2021 In this paper, generalized fractional-order Bernoulli wavelet functions based on the Bernoulli wavelets are constructed to obtain the numerical solution of problems of anomalous infiltration and diffusion modeling by a class of nonlinear fractional ...
Devendra Chouhan +2 more
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Fractal and Fractional, 2023 In this paper, we present an efficient, new, and simple programmable method for finding approximate solutions to fractional differential equations based on Bernoulli wavelet approximations.
Heba M. Arafa +2 more
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Fractal and Fractional, 2022 We introduce several q-differential equations of higher order which are related to q-Bernoulli polynomials and obtain a symmetric property of q-differential equations of higher order in this paper. By giving q-varying variations, we identify the shape of
Cheon-Seoung Ryoo, Jung-Yoog Kang
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Alexandria Engineering Journal, 2023 One of the key tools for many fields of applied mathematics is the integral equations. Integral equations are widely utilized in many models, atmosphere–ocean dynamics, fluid mechanics, mathematical physics, and many other physical and engineering ...
Heba M. Arafa, Mohamed A. Ramadan
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Fractal and Fractional, 2021 In this paper, fractional-order Bernoulli wavelets based on the Bernoulli polynomials are constructed and applied to evaluate the numerical solution of the general form of Caputo fractional order diffusion wave equations.
Monireh Nosrati Sahlan +3 more
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Exploring the Limits of Euler–Bernoulli Theory in Micromechanics
Axioms, 2022 In this study, the limits of the Euler–Bernoulli theory in micromechanics are explored. Raman spectroscopy, which is extremely accurate and reliable, is employed to study the bending of a microbeam of a length of 191 μm.
Chrysoula K. Manoli +2 more
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Traveling wave structures of some fourth-order nonlinear partial differential equations
Journal of Ocean Engineering and Science, 2023 This study presents a large family of the traveling wave solutions to the two fourth-order nonlinear partial differential equations utilizing the Riccati-Bernoulli sub-ODE method.
Handenur Esen +3 more
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Computation, 2020 In this work, we derive the operational matrix using poly-Bernoulli polynomials. These polynomials generalize the Bernoulli polynomials using a generating function involving a polylogarithm function.
Chang Phang +2 more
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Stochastic delay equations with non-negativity constraints driven by fractional Brownian motion [PDF]
, 2012 In this note we prove an existence and uniqueness result for the solution of multidimensional stochastic delay differential equations with normal reflection. The equations are driven by a fractional Brownian motion with Hurst parameter $H>1/2$.
Besalú, Mireia, Rovira, Carles
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Partial Differential Equations in Applied Mathematics, 2021 Fractional differential equations fit perfectly into nature modeling, requiring the finding of efficient numerical methods of solving them. This paper aims to propose a method for solving two-dimensional fractional order equations by constructing a new ...
Octavian Postavaru, Antonela Toma
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