Partial Fractional Differential Equation
Optimal Control of a Class of Parabolic Partial Fractional Differential Equations
... parabolic partial fractional differential equation is studied and the solution bound estimate which are used to prove the existence of the solution of the optimal control problem in a Banach ...
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Abstract Fractional sine transform and Laplace transform are used for solving the Stokes` first problem with
... Fractional partial differential equations have many applications in applied sciences and ...of fractional of fractional partial differential equations of the time ...
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Application of fractional-order Bernoulli functions for solving fractional Riccati differential equation
... of fractional-order differential ...of fractional derivative and integration for such functions to construct a new Tau technique for solving fractional partial differential ...
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Exact solutions for fractional partial differential equations by a new fractional sub equation method
... decades, fractional differential equations have been the focus of many studies due to their frequent appearance in various applications in physics, biology, engineering, signal processing, systems identification, ...
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A new fractional Jacobi elliptic equation method for solving fractional partial differential equations
... new fractional Jacobi elliptic equation method to seek exact solutions of fractional partial differential ...certain fractional partial differential equation can be turned ...
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Techniques for Solving a Certain Class of Partial Differential Equation by Fractional Fourier Transform
... term fractional Fourier transforms is crucial in the study of Mathematics and ...systems, fractional Fourier transforms (generalized form of Fourier ...term fractional Fourier transform for the first ...
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Forced Oscillation of Solutions of a Fractional Neutral Partial Functional Differential Equation
... Forced Oscillation of Solutions of a Fractional Neutral Partial Functional Differential Equation V.. Kavitha* Post Graduate and Research Department of Mathematics, Thiruvalluvar Governme[r] ...
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Exact and approximate solutions of fractional partial differential equations for water movement in soils
... the fractional partial differential equation (fPDE) for analysing water movement in ...symmetrical fractional derivatives (SFDs) which have two components: the forward fractional ...
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Exact Solution to Nonlinear Differential Equations of Fractional Order via (G’/G) Expansion Method
... nonlinear partial time-space fractional differential Equation has been ...the fractional complex transformation has been implemented to convert nonlinear partial ...
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Exact solutions of a linear fractional partial differential equation via characteristics method
... solving differential equations of fractional order, such as Lie group method, invariant subspace method and numerical methods, [1, 2, 3, ...linear fractional differential equations (FDEs) of ...
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New Modified Method of the Chebyshev Collocation Method for Solving Fractional Diffusion Equation
... The fractional partial differential equations (FPDEs) arise in numerous problems of engineering, physics, mathematics, chemistry, biology,and viscoelasticity ( [1], [2], [3], ...[4]).Most ...
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Two numerical methods for fractional partial differential equation with nonlocal boundary value problem
... of fractional telegraph partial differential equation of nonlocal boundary value problem is ...the fractional telegraph differential equation defined by Caputo fractional derivative ...
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Approximate controllability of fractional partial differential equation
... The approximate controllability of the systems with integer order has been proved in [, ] among others. However, there are only few papers concerned with the approxi- mate controllability of a fractional ...
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Jacobi Elliptic Function Solutions For Fractional Partial Differential Equations
... of partial differential equations in fractional case, and proposed a new fractional Riccati sub-equation method, where the sub-equation used is the fractional Riccati ...
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A wavelet operational matrix method for solving initial - boundary value problems for fractional partial differential equations
... A fractional partial differential equation (FPDE) is a partial differential equation which involves frac- tional calculus ...
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ON THE SOLUTIONS OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION
... the equation in (10) is a fuzzy algebraic equation and its solution can be determined by applying usual algebraic operations taking care about the arithmetic of fuzzy numbers (see ...of equation (10) ...
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Alternative Method to Solve Partial Differential Equation using MATLAB
... From this graph we are observed that the geometrical format of the solution of given Partial Differential Equation is have 28 vertical lines with respect to x-axis and 28 horizontal lines with ...
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Variational iteration method for solving nth-order fuzzy integro-differential equations
... In this paper, the variational iteration method for solving nth-order fuzzy integro-differential equations (nth-FIDE) is proposed. In fact the problem is changed to the system of ordinary fuzzy integro- ...
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Graphical Solution of Partial Differential Equation using MATLAB
... of Partial Differential Equation we are taking the range of independent variable x and y is “from 0 to 5” this means that we are plotting the graph between the range “0 to 5” and also the range of ...
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A Reliable Treatment of Iterative Laplace Transform Method for Fractional Telegraph Equations
... Further, we apply the iterative Laplace transform method (ILTM) to solve fractional telegraph equations. It is worth mentioning that this method is an elegant coupling of the Iterative Method and Laplace ...
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