Results 101 to 110 of about 481,023 (339)
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
Generalized fractional hybrid Hamilton Pontryagin equations [PDF]
arXiv, 2009 In this work we present a new approach on studying dynamical systems. Combining the two ways of expressing the uncertainty, using probabilistic theory and credibility theory, we have research the generalized fractional hybrid equations. We have introduced the concepts of generalized fractional Wiener process, generalized fractional Liu process and the ...
arxiv
Existence and Uniqueness of a Fractional Fokker-Planck Equation [PDF]
arXiv, 2020 Stochastic differential equations with Levy motion arise the mathematical models for various phenomenon in geophysical and biochemical sciences. The Fokker Planck equation for such a stochastic differential equations is a nonlocal partial differential equations. We prove the existence and uniqueness of the weak solution for this equation.
arxiv
Molecular Oncology, EarlyView.Chronic TGF‐β exposure drives epithelial HCC cells from a senescent state to a TGF‐β resistant mesenchymal phenotype. This transition is characterized by the loss of Smad3‐mediated signaling, escape from senescence, enhanced invasiveness and metastatic potential, and upregulation of key resistance modulators such as MARK1 and GRM8, ultimately promoting
Minenur Kalyoncu +11 more
wiley +1 more source
A new X-ray images enhancement method using a class of fractional differential equation. [PDF]
MethodsX, 2023 Aldoury RS +3 more
europepmc +1 more source
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
Variational Approach for Fractional Partial Differential Equations [PDF]
arXiv, 2010 Fractional variational approach has gained much attention in recent years. There are famous fractional derivatives such as Caputo derivative, Riesz derivative and Riemann-Liouville derivative. Several versions of fractional variational principles are proposed.
arxiv
Molecular Oncology, EarlyView.This study used longitudinal transcriptomics and gene‐pattern classification to uncover patient‐specific mechanisms of chemotherapy resistance in breast cancer. Findings reveal preexisting drug‐tolerant states in primary tumors and diverse gene rewiring patterns across patients, converging on a few dysregulated functional modules. Despite receiving the
Maya Dadiani +14 more
wiley +1 more source
Fractional differential equation modeling of the HBV infection with time delay and logistic proliferation. [PDF]
Front Public Health, 2022 Sun D, Liu J, Su X, Pei G.
europepmc +1 more source