Results 81 to 90 of about 1,104,545 (205)
Fractional Differential Equations
Synthesis Lectures on Mathematics & Statistics, 2023 M. Benchohra +3 more
semanticscholar +2 more sources
Monte Carlo Random Walk Simulations Based on Distributed Order Differential Equations [PDF]
arXiv, 2006 In this paper the multi-dimensional random walk models governed by distributed fractional order differential equations and multi-term fractional order differential equations are constructed. The scaling limits of these random walks to a diffusion process in the sense of distributions is proved.
arxiv
Mathematics, 2019 In this manuscript, we introduce a new notion: a Berinde type ( α , ψ ) -contraction mapping. Thereafter, we investigate not only the existence, but also the uniqueness of a fixed point of such mappings in the setting of right-complete quasi-metric ...
E. Karapınar +4 more
semanticscholar +1 more source
Stability Of Fractional Differential Equation
, 2013 {"references": ["", "R.P. Agarwal, D. O'Regan, Singular boundary value problems for superlinear\nsecond order ordinary and delay differential equations, J.\nDifferential Equations 130 (1996) 333-335.", "R.P. Agarwal, D. O'Regan, V. Lakshmikantham, Quadratic forms and\nnonlinear non-resonant singular second order boundary value problems\nof limit circle
openaire +1 more source
ON ASYMPTOTICS OF SOME FRACTIONAL DIFFERENTIAL EQUATIONS
Mathematical Modelling and Analysis, 2013 In this paper we study the large-argument asymptotic behaviour of certain fractional differential equations with Caputo derivatives. We obtain exponential and algebraic asymptotic solutions. The latter, decaying asymptotics differ significantly from the integer-order derivative equations.
openaire +5 more sources
Soliton Solutions of Fractional order KdV-Burger's Equation [PDF]
arXiv, 2013 In this article, the new exact travelling wave solutions of the time-and space-fractional KdV-Burgers equation has been found. For this the fractional complex transformation have been implemented to convert nonlinear partial fractional differential equations to nonlinear ordinary differential equations, in the sense of the Jumarie's modified Riemann ...
arxiv
Fractional Differential Equations 2011 [PDF]
International Journal of Differential Equations, 2011 Liu, Fawang +4 more
openaire +4 more sources
Nonlocal fractional differential equations and applications [PDF]
arXiv, 2019 Boundary value problems for nonlocal fractional elliptic equations with parameter in Banach spaces are studied. Uniform $L_p$-separability properties and sharp resolvent estimates are obtained for elliptic equations in terms of fractional derivatives.
arxiv
General Solution to Sequential Linear Conformable Fractional Differential Equations With Constant Coefficients [PDF]
arXiv, 2016 In this work, we give the general solution sequential linear conformable fractional differential equations in the case of constant coefficients for {\alpha}(\in)(0,1]. In homogeneous case, we use a fractional exponential function which generalizes the corresponding ordinary function.
arxiv
Generalized quasilinearization for fractional differential equations
Computers & Mathematics with Applications, 2010 AbstractIn this paper, an existence and uniqueness result is obtained for an IVP of fractional differential equations using the method of generalized quasilinearization, which allows for some relaxation on the conditions on f.
F.A. McRae +5 more
openaire +2 more sources