Results 1 to 10 of about 3,061,238 (284)
Walailak Journal of Science and Technology, 2021 In this paper, we explain all non-negative integer solutions for the nonlinear Diophantine equation of type 8x + py = z2 when p is an arbitrary odd prime number and incongruent with 1 modulo 8.
Boorapa SINGHA
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Mathematics, 2023 This study investigates the multistability phenomenon and coexisting attractors in the modified Autonomous Van der Pol-Duffing (MAVPD) system and its fractional-order form.
A. E. Matouk +4 more
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An elementary proof of Fermat’s last theorem for all even exponents
Journal of Mathematical Cryptology, 2020 An elementary proof that the equation x2n + y2n = z2n can not have any non-zero positive integer solutions when n is an integer ≥ 2 is presented. To prove that the equation has no integer solutions it is first hypothesized that the equation has integer ...
Karmakar Sudhangshu B.
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Lietuvos Matematikos Rinkinys, 2019 A complicated system of two equations with two variables is considered. The theory of equations of higher orders required for solution is given. Many different methods of solution are indicated.
Juozas Juvencijus Mačys
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On Polynomial Solutions of Pell’s Equation
Journal of Mathematics, 2021 Polynomial Pell’s equation is x2−Dy2=±1, where D is a quadratic polynomial with integer coefficients and the solutions X,Y must be quadratic polynomials with integer coefficients. Let D=a2x2+a1x+a0 be a polynomial in Zx.
Hasan Sankari, Ahmad Abdo
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Alexandria Engineering Journal, 2016 Exact general solutions for the dynamics of an incompressible viscous fluid with non-integer order derivative without singular kernel are established using the integral transforms.
A.A. Zafar, C. Fetecau
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A Comparative Study of the Fractional-Order Clock Chemical Model
Mathematics, 2020 In this paper, a comparative study has been made between different algorithms to find the numerical solutions of the fractional-order clock chemical model (FOCCM). The spectral collocation method (SCM) with the shifted Legendre polynomials, the two-stage
Hari Mohan Srivastava, Khaled M. Saad
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Open Computer Science, 2018 We define a computable function f from positive integers to positive integers. We formulate a hypothesis which states that if a system S of equations of the forms xi· xj = xk and xi + 1 = xi has only finitely many solutions in non-negative integers x1, .
Tyszka Apoloniusz
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Axioms, 2022 We enhance Frobenius’ method for solving linear ordinary differential equations about regular singular points. Key to Frobenius’ approach is the exploration of the derivative with respect to a single parameter; this parameter is introduced through the ...
Ramses van der Toorn
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Study on the variable coefficient space–time fractional Korteweg de Vries equation
Ain Shams Engineering Journal, 2018 In this paper, the fractional Riccati method is modified for solving nonlinear variable coefficients fractional differential equations involving modified Riemann–Liouville derivative.
Emad A-B. Abdel-Salam, Gamal F. Hassan
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