Results 1 to 10 of about 537,797 (362)
Regularization of differential equations by fractional noise
Stochastic Processes and their Applications, 2002 AbstractLet {BtH,t∈[0,T]} be a fractional Brownian motion with Hurst parameter H. We prove the existence and uniqueness of a strong solution for a stochastic differential equation of the form Xt=x+BtH+∫0tb(s,Xs)ds, where b(s,x) is a bounded Borel function with linear growth in x (case H⩽12) or a Hölder continuous function of order strictly larger than ...
Youssef Ouknine, David Nualart
openaire +2 more sources
Exact solutions for nonlinear fractional differential equations using G′G2-expansion method
Alexandria Engineering Journal, 2018 A relatively new technique which is named as G′G2-expansion method is applied to attain exact solution of nonlinear fractional differential equations (NLFDEs).
Syed Tauseef Mohyud-Din, Sadaf Bibi
doaj
On the existence and stability of fuzzy CF variable fractional differential equation for COVID-19 epidemic. [PDF]
Eng Comput, 2022 Verma P, Kumar M.
europepmc +1 more source
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
Exact solutions of conformable fractional differential equations
Results in Physics, 2021 This article is about to formulate exact solutions of the time fractional Dodd-Bullough-Mikhailov (DBM) equation, Sinh-Gordon equation and Liouville equation by utilizing simplest equation method (SEM) in conformable fractional derivative (CFD) sense ...
Haleh Tajadodi +5 more
doaj
Existence of deviating fractional differential equation [PDF]
Cubo (Temuco), 2012 In this paper we shall establish sufficient conditions for the existence of solutions of a class of fractional differential equation (Cauchy type ) and its solvability in a subset of the Banach space. The main tool used in our study is the non-expansive operator technique. The non integer case is taken in sense of Riemann Liouville fractional operators.
openaire +4 more sources
Symmetry Analysis and Wave Solutions of Time Fractional Kupershmidt Equation
Journal of Applied MathematicsThis study employs the Lie symmetry technique to explore the symmetry features of the time fractional Kupershmidt equation. Specifically, we use the Lie symmetry technique to derive the symmetry generators for this equation, which incorporates a ...
Shalu Saini, Rajeev Kumar, Kamal Kumar
doaj +1 more source
Legendre fractional differential equation and Legender fractional polynomials
, 2014 In this paper we study the Legender conformable fractional differential equation. It turns out that in certain cases, similar to the classical case, certain solutions are fractional polynomials.
R. Khalil, M. A. Hammad
semanticscholar +1 more source
Fractional Differential Equations
, 2017 Fractional calculus, the branch of mathematics dealing with derivatives and integrals of non-integer order, began as a mere mathematical curiosity during the time of Leibniz but through the years has developed into a very dynamic field of research. Famous mathematicians such as Riemann, Liouville, Grunwald, Euler, Lagrange, Caputo and
openaire +1 more source
Global Stability of a Fractional Partial Differential Equation [PDF]
, 2000 Hana Petzeltová, Jan Prüß
openalex +1 more source