Results 71 to 80 of about 537,797 (362)

Homotopy Analysis Method for Three Types of Fractional Partial Differential Equations

Complexity, 2020
In this paper, three types of fractional order partial differential equations, including the fractional Cauchy–Riemann equation, fractional acoustic wave equation, and two-dimensional space partial differential equation with time-fractional-order, are ...
Haidong Qu, Zihang She, Xuan Liu
doaj   +1 more source

Converting fractional differential equations into partial differential equations

Thermal Science, 2012
A transform is suggested in this paper to convert fractional differential equations with the modified Riemann-Liouville derivative into partial differential equations, and it is concluded that the fractional order in fractional differential equations is equivalent to the fractal dimension.
Zheng-Biao Li, Ji-Huan He
openaire   +2 more sources

Thermal proteome profiling and proteome analysis using high‐definition mass spectrometry demonstrate modulation of cholesterol biosynthesis by next‐generation galeterone analog VNPP433‐3β in castration‐resistant prostate cancer

Molecular Oncology, EarlyView.
Elevated level of cholesterol is positively correlated to prostate cancer development and disease severity. Cholesterol‐lowering drugs, such as statins, are demonstrated to inhibit prostate cancer. VNPP433‐3β interrupts multiple signaling and metabolic pathways, including cholesterol biosynthesis, AR‐mediated transcription of several oncogenes, mRNA 5′
Retheesh S. Thankan, Elizabeth Thomas, Mehari M. Weldemariam, Puranik Purushottamachar, Weiliang Huang, Maureen A. Kane, Yuji Zhang, Nicholas Ambulos, Bi‐Dar Wang, David Weber, Vincent C. O. Njar   +10 more
wiley   +1 more source

Series solutions for the Laguerre and Lane-Emden fractional differential equations in the sense of conformable fractional derivative

Alexandria Engineering Journal, 2019
In the present paper, we use efficient and simple algorithms of the fractional power series and Adomain polynomial methods that provide effective tools for solving such linear and nonlinear fractional differential equations in the sense of conformable ...
Zeyad Al-Zhour, Nouf Al-Mutairi, Fatimah Alrawajeh, Raed Alkhasawneh   +3 more
doaj  

Positive Solutions for Boundary Value Problems of Fractional Differential Equation with Integral Boundary Conditions

, 2018
By using two fixed-point theorems on cone, we discuss the existence results of positive solutions for the following boundary value problem of fractional differential equation with integral boundary conditions: , , , and .
Qiao‐Xi Sun, Hong-Kyu Ji, Yujun Cui
semanticscholar   +1 more source

Analytic Solution of Linear Fractional Differential Equation with Jumarie Derivative in Term of Mittag- Leffler Function [PDF]

, 2015
There is no unified method to solve the fractional differential equation. The type of derivative here used in this paper is of Jumarie formulation, for the several differential equations studied.
U. Ghosh, Srijan Sengupta, S. Sarkar, S. Das   +3 more
semanticscholar   +1 more source

Stability of the fractional Volterra integro‐differential equation by means of ψ‐Hilfer operator [PDF]

Mathematical methods in the applied sciences, 2018
In this paper, using the Riemann‐Liouville fractional integral with respect to another function and the ψ−Hilfer fractional derivative, we propose a fractional Volterra integral equation and the fractional Volterra integro‐differential equation.
J. Sousa, F. G. Rodrigues, E. Capelas de Oliveira   +2 more
semanticscholar   +1 more source

Fractional complex transforms for fractional differential equations [PDF]

Advances in Difference Equations, 2012
The fractional complex transform is employed to convert fractional differential equations analytically in the sense of the Srivastava-Owa fractional operator and its generalization in the unit disk. Examples are illustrated to elucidate the solution procedure including the space-time fractional differential equation in complex domain, singular problems
openaire   +2 more sources

Highly multiplexed digital PCR assay for simultaneous quantification of variant allele frequencies and copy number alterations of KRAS and GNAS in pancreatic cancer precursors

Molecular Oncology, EarlyView.
Combining melting curve analysis enhances the multiplexing capability of digital PCR. Here, we developed a 14‐plex assay to simultaneously measure single nucleotide mutations and amplifications of KRAS and GNAS, which are common driver genes in pancreatic cancer precursors. This assay accurately quantified variant allele frequencies in clinical samples
Junko Tanaka, Tatsuo Nakagawa, Yusuke Ono, Yoshio Kamura, Takeshi Ishida, Hidemasa Kawabata, Kenji Takahashi, Hiroki Sato, Andrew S. Liss, Yusuke Mizukami, Takahide Yokoi   +10 more
wiley   +1 more source

The double auxiliary equations method and its application to space-time fractional nonlinear equations

Journal of Ocean Engineering and Science, 2019
This paper reflects the execution of a reliable technique which we proposed as a new method called the double auxiliary equations method for constructing new traveling wave solutions of nonlinear fractional differential equation.
L.A. Alhakim, A.A. Moussa
doaj