[PDF] Top 20 Fractional complex transforms for fractional differential equations
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Fractional complex transforms for fractional differential equations
... Transform is a significant technique to solve mathematical problems. Many useful trans- forms for solving various problems appeared in open literature such as wave transforma- tion, the Laplace transform, the Fourier ... See full document
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ON THE NUMERICAL SOLUTION OF FRACTIONAL ORDER DIFFERENTIAL EQUATIONS USING TRANSFORMS AND QUADRATURE
... In many cases the analytical method is unavailable for solving fractional order differ- ential equations. So in practical problems of relevance, we have to use some numerical methods to approximate the ... See full document
8
A New Approach for the Exact Solutions of Nonlinear Equations of Fractional Order via Modified Simple Equation Method
... time-space differential equations of fractional ...tional complex transformation has been implemented to convert nonlinear partial fractional dif- ferential equations into ... See full document
7
Euler’s Method for Fractional Differential Equations
... Although the trapezoidal method improves the accuracy, the algorithm is complex. In iterative formula, iteration operation is repeated several times which leads great amount of computation and difficultly to ... See full document
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Solution to time fractional generalized KdV of order 2q+1 and system of space fractional PDEs
... partial fractional differential equations, the Laplace and Fourier transformations on the one hand and separation of variables on the other ...the fractional (G 0 /G)- expansion method, [5], ... See full document
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Jacobi Elliptic Function Solutions For Fractional Partial Differential Equations
... for fractional partial differential equations, where the fractional derivative is defined in the sense of the modified Riemann-Liouville ...a fractional complex transformation, ... See full document
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Solutions of fractional difference equations using S-transforms
... integral transforms that are widely used in physics, astronomy, as well as ...the differential equations, the integral transforms were extensively used and thus there are several works on the ... See full document
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Application of fractional differential equations to heat transfer in hybrid nanofluid: modeling and solution via integral transforms
... the fractional derivative is used for the generalization of the free convection flow of the hybrid ...governing equations of the Brinkman type fluid along with the energy equation is fractionalized using the ... See full document
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On the oscillation of Hadamard fractional differential equations
... Hadamard fractional derivatives are nonlocal fractional derivatives with singular logarithmic kernel with memory, and hence they are suitable to describe complex ...solutions fractional ... See full document
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On some nonlinear fractional PDEs in physics
... partial differential equations (NPDEs) are encountered in various disciplines, such as physics, mechanics, chemistry, biology, mathematics and ...partial differential equations [1-29] are of ... See full document
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Techniques for Solving a Certain Class of Partial Differential Equation by Fractional Fourier Transform
... on Differential Equations using fractional powers of the Fourier Transform on the Schwartz space (Bailey and Swartzrauber, 1991) compute the Fractional Fourier transforms using Fast ... See full document
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Solving STO And KD Equations with Modified Riemann-Liouville Derivative Using Improved (G’/G)-expansion Function Method
... using fractional-order differential equations ...exact complex solutions of nonlinear time-fractional STO equation by the direct algebraic ...the fractional STO equation we can ... See full document
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Fractional complex transform method for wave equations on Cantor sets within local fractional differential operator
... local fractional calculus has attracted a lot of interest for scientists and ...local fractional derivative had been introduced, i.e. the local fractional derivative structured by Kolwankar and ... See full document
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PARTICULAR SOLUTION OF LINEAR FRACTIONAL DIFFERENTIAL EQUATION WITH CONSTANT COEFFICIENTS BY INVERSE OPERATORS
... Fractional differential equations ( FDEs) occur in numerous complex systems in life science, such as rheology, viscoelasticity, porous media, electrochemistry, electromagnetism, dynamics of ... See full document
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Note on weakly fractional differential equations
... differential equations (DEs) appear in FDEs as well, like asymptotic properties of solutions or ...weakly fractional, which can be used to seek numerically the solutions of ... See full document
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The fractional calculus numerical algorithms and its application to the viscoelastic material problem
... on fractional calculus and its theory is almost as old as the integer-order ...of fractional calculus first appeared in Leibniz’s diary in the September 30, 1695, he discussed the ...of fractional ... See full document
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Impulsive Hilfer fractional differential equations
... Nonlinear fractional differential equations can be observed in many areas such as popula- tion dynamics, heat conduction in materials with memory, seepage flow in porous media, autonomous mobile robots, fluid ... See full document
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On solutions for classes of fractional differential equations
... of fractional differential equation affected on the exact solutions of fractional differential ...nonlinear fractional partial differential ... See full document
8
Random fractional functional differential equations
... appropriate Banach space. In [23], authors proved the existence results for a random fractional equation under a Carath´ eodory condition. Existence results for the extremal random solution are also proved. ... See full document
15
Fuzzy Local Fractional Differential Equations
... local fractional H-differentiability is based on the Riemann-Liouville H-differentiability for a fuzzy-valued function of a single variable and some of its properties are considered, are given in section ...local ... See full document
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