Results 41 to 50 of about 9,081 (293)

Numerical solution of the nonlinear conformable space-time fractional partial differential equations [PDF]

, 2021
In this paper, a numerical approach for solving the nonlinear space-time fractional partial differential equations with variable coefficients is proposed. The fractional derivatives are described in the conformable sense.
Yaslan, H. Cerdik
core   +1 more source

A note on exp-function method combined with complex transform method applied to fractional differential equations

Advances in Nonlinear Analysis, 2015
In this article, the fractional derivatives in the sense of modified Riemann–Liouville and the exp-function method are used to construct exact solutions for some nonlinear partial fractional differential equations via the nonlinear fractional Liouville ...
Guner Ozkan, Bekir Ahmet, Bilgil Halis
doaj   +1 more source

Fractional Reduced Differential Transform Method for Solving Mutualism Model with Fractional Diffusion

International Journal of Analysis and Applications, 2023
This study presents the fractional reduced differential transform method for a nonlinear mutualism model with fractional diffusion. The fractional derivatives are described by Caputo's fractional operator.
Mohamed Ahmed Abdallah, Khaled Abdalla Ishag   +1 more
doaj   +1 more source

Continuity equations and ODE flows with non-smooth velocity [PDF]

, 2014
In this paper we review many aspects of the well-posedness theory for the Cauchy problem for the continuity and transport equations and for the ordinary differential equation (ODE). In this framework, we deal with velocity fields that are not smooth, but
Crippa, Gianluca, Ambrosio, Luigi
core   +1 more source

A note on Riccati-Bernoulli Sub-ODE method combined with complex transform method applied to fractional differential equations

Nonlinear Engineering, 2018
In this paper, the fractional derivatives in the sense of modified Riemann–Liouville and the Riccati-Bernoulli Sub-ODE method are used to construct exact solutions for some nonlinear partial fractional differential equations via the nonlinear fractional ...
Abdelrahman Mahmoud A.E.
doaj   +1 more source

Mathematical frameworks for investigating fractional nonlinear coupled Korteweg-de Vries and Burger’s equations

Frontiers in Physics
This article utilizes the Aboodh residual power series and Aboodh transform iteration methods to address fractional nonlinear systems. Based on these techniques, a system is introduced to achieve approximate solutions of fractional nonlinear Korteweg-de ...
Saima Noor, Saima Noor, Wedad Albalawi, Rasool Shah, M. Mossa Al-Sawalha, Sherif M. E. Ismaeel, Sherif M. E. Ismaeel   +6 more
doaj   +1 more source

A novel quinazolinone insulin receptor inhibitor and its synergy with an EGFR inhibitor in glucose‐driven glioblastoma

Molecular Oncology, EarlyView.
The novel styrylquinazolinone‐based molecule W1B effectively suppresses glioblastoma by inhibiting IGF1R and EGFR. In high‐glucose microenvironments driving tumor resistance, W1B acts synergistically with the EGFR inhibitor dacomitinib. This combination safely blocks compensatory survival signaling in zebrafish xenograft models. Showcasing promising in
Patryk Rurka, Wioleta Cieślik, Wojciech Płaziński, Katarzyna Stępnik, Anna Boguszewska‐Czubara, Elżbieta Kot, Robert Musioł, Mateusz Jasica, Anna Mrozek‐Wilczkiewicz, Katarzyna Malarz   +9 more
wiley   +1 more source

Nonlinear time-fractional dispersive equations [PDF]

, 2014
In this paper we study some cases of time-fractional nonlinear dispersive equations (NDEs) involving Caputo derivatives, by means of the invariant subspace method.
ARTALE HARRIS, PIETRO, GARRA, ROBERTO
core   +1 more source

APPLICATIONS TO PARTIAL DIFFERENTIAL EQUATIONS IN NONLINEAR SECOND ORDER EQUATIONS [PDF]

, 2021
In the present paper there is a detailed study for the abstract second order (in time) semi lineardifferential equation on Cauchy problemin which A and B are (generally unbounded) operators which arelinear in a Banach space. This sort of problems rise up
ADAPA DURGA MADHURI, P.V. NARESH SAGAR, PINISETTI GANGARAJU
core   +1 more source

Numerical Solution of Caputo-Fabrizio Time Fractional Distributed Order Reaction-diffusion Equation via Quasi Wavelet based Numerical Method [PDF]

Journal of Applied and Computational Mechanics, 2020
In this paper, we derive a novel numerical method to find out the numerical solution of fractional partial differential equations (PDEs) involving Caputo-Fabrizio (C-F) fractional derivatives. We first find out the approximation formula of C-F derivative
Sachin Kumar, José Francisco Gómez-Aguilar   +1 more
doaj   +1 more source