Results 31 to 40 of about 6,558 (265)
About Some Possible Implementations of the Fractional Calculus
Mathematics, 2020 We present a partial panoramic view of possible contexts and applications of the fractional calculus. In this context, we show some different applications of fractional calculus to different models in ordinary differential equation (ODE) and partial ...
María Pilar Velasco +5 more
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Solutions of Certain Fractional Partial Differential Equations
WSEAS TRANSACTIONS ON MATHEMATICS, 2021 In this paper we find certain solutions of some fractional partial differential equations. Tensor product of Banach spaces is used where separation of variables does not work.
Alsauodi Maha +2 more
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Journal of Ocean Engineering and Science, 2020 In this paper, we used the generalized (G'/G)-expansion method to construct exact solutions for conformable fractional nonlinear partial differential equations.
Muhannad A. Shallal +4 more
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Fractional time stochastic partial differential equations
Stochastic Processes and their Applications, 2015 In this paper, we introduce a class of stochastic partial differential equations (SPDEs) with fractional time-derivatives, and study the $L_2$-theory of the equations. This class of SPDEs can be used to describe random effects on transport of particles in medium with thermal memory or particles subject to sticking and trapping.
Chen, Zhen-Qing +2 more
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Improved ()-Expansion Method for the Space and Time Fractional Foam Drainage and KdV Equations
Abstract and Applied Analysis, 2013 The fractional complex transformation is used to transform nonlinear partial differential equations to nonlinear ordinary differential equations. The improved ()-expansion method is suggested to solve the space and time fractional foam drainage and KdV ...
Ali Akgül +2 more
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Impulsive Hilfer fractional differential equations
Advances in Difference Equations, 2018 Existence and controllability results for nonlinear Hilfer fractional differential equations are studied. Sufficient conditions for existence and approximate controllability for Sobolev-type impulsive fractional differential equations are established ...
Hamdy M. Ahmed +3 more
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Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation
FEBS Letters, EarlyView.Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe +3 more
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Journal of Applied MathematicsThe current study is aimed at obtaining analytical solutions of fourth-order parabolic partial differential equations of time-fractional derivative with variable coefficients.
Mehari Fentahun Endalew, Xiaoming Zhang
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Mathematical modelling of unsteady fractional Phan Thien Tanner fluid
Alexandria Engineering Journal, 2020 The fractional calculus approach in the constitutive relationship model of viscoelastic fluid is introduced. For the first time, unsteady fractional Phan Thien Tanner fluid is modeled, which results in different space-time nonlinear fractional partial ...
Naeem Faraz, Yasir Khan, Amna Anjum
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Technique to Solve Linear Fractional Differential Equations Using B-Polynomials Bases
Fractal and Fractional, 2021 A multidimensional, modified, fractional-order B-polys technique was implemented for finding solutions of linear fractional-order partial differential equations. To calculate the results of the linear Fractional Partial Differential Equations (FPDE), the
Muhammad I. Bhatti, Md. Habibur Rahman
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