[PDF] Top 20 On some applications of the space time fractional derivative
Has 10000 "On some applications of the space time fractional derivative" found on our website. Below are the top 20 most common "On some applications of the space time fractional derivative".
On some applications of the space time fractional derivative
... fields. Fractional calculus describes and is used to model physical processes via fractional differ- ential ...[–]). Fractional differential equations are used to model various physical phenomena in ... See full document
14
Oscillation results for a fractional order dynamic equation on time scales with conformable fractional derivative
... establish some new criteria of oscillatory and asymptotic behavior for ...conformable fractional differential and integral together with a generalized Riccati transformation technique in ...present ... See full document
20
Numerical approximation of the space time Caputo Fabrizio fractional derivative and application to groundwater pollution equation
... recent derivative of fractional order was proposed by Caputo and Fabrizio [], who demonstrated that the new-fangled derivative encompasses extra encouraging prop- erties in comparison with the old ... See full document
13
Fuzzy Space-Time Fractional Telegraph Equations
... of fractional calculus, which deals with the investigation and applications of derivatives and integrals of arbitrary order has a long ...of fractional calculus developed mainly as a pure theoretical ... See full document
8
An application of Lauricella hypergeometric functions to the generalized heat equations
... The fractional heat conduction equation is studied by Povstenko in 2004 ...a time-fractional ...with time and space fractional derivatives and on the theory of thermal stresses ... See full document
6
A New Truncated M-Fractional Derivative Type Unifying Some Fractional Derivative Types with Classical Properties
... over time, become more complex and more than differential equations, provides a rough and simplified description of the actual process, it is necessary that new and more refined mathematical tools are presented ... See full document
14
A Variety of Explicit Exact and Soliton Type Solutions of Conformable Fractional Equal-Width Equations
... the space-time FEW equations [13, 14, 43] defined with conformable derivative and using the compatible traveling wave ...conformable derivative and the hyperbolic function ...for ... See full document
17
An analytical approach to obtain exact solutions of some space time conformable fractional differential equations
... the space-time fractional generalized reaction Duffing model [27] D 2α t ϕ + aD 2α x ϕ + bϕ + cϕ 2 + dϕ 3 = ...conformable derivative [28, ... See full document
10
A New Approach for Fractional Order Derivative and Its Applications
... and fractional order Rodrigues’ type representation ...of fractional calculus, new g-Jacobi functions were defined, some of their properties were given and compared with the corresponding properties ... See full document
8
Fractional governing equations of transient groundwater flow in confined aquifers with multi-fractional dimensions in fractional time
... the fractional advection–dispersion equation (fADE) as a model for transport in heterogeneous subsurface media as one approach to the modeling of the generally non-Fickian behavior of ...a fractional ... See full document
9
A Cauchy-type problem with a sequential fractional derivative in the space of continuous functions
... In recent years there has been a considerable interest in the theory and applications of fractional differential equations. As for the theory, the investigations include the existence and uniqueness of ... See full document
14
Analytical study for time and time space fractional Burgers’ equation
... years fractional calculus has been utilized to find solutions of equations gov- erning the modeling of real materials in engineering and ...physics. Fractional differential equations model many phenomena in ... See full document
15
Some New Delay Integral Inequalities Based on Modified Riemann Liouville Fractional Derivative and Their Applications
... same time, delay integral and differential inequality have been studied due to their wide applications ...the fractional differential and fractional integrals are adopted in var- ious fields ... See full document
13
Generalized fractional calculus to a subclass of analytic functions for operators on Hilbert space
... In this paper, we investigate some generalized results of applications of fractional integral and derivative operators to a subclass of analytic functions for operators on Hilbert space.[r] ... See full document
6
Differential transform method for conformable fractional partial differential equations
... for fractional derivative in most of which integral forms have been widely ...of fractional derivative called a conformable frac- tional derivative was proposed by Khalil et ...of ... See full document
13
Study of Solutions of a Nonlinear Fractional Partial Differential Equation
... one-dimensional time-fractional diffusion- wave equation (with the fractional derivative in the Riemann-Liouville sense) and for the more general time- and space-fractional ... See full document
5
Analytic and numerical solutions for systems of fractional Schrödinger equation
... the time-fractional nonlinear Schrödinger equation in one and two dimensions, have appeared in quantum ...the fractional Schrödinger type equation of spatial dimension two ...of fractional ... See full document
11
A posteriori error estimates for the fractional optimal control problems
... the fractional diffusion equation to describe diffusion in media with fractal ...a time fractional integration of order α to both sides of the first equation in ...the time fractional ... See full document
13
A new definition of conformable fractional derivative on arbitrary time scales
... conformable derivative on arbitrary time scales T which also includes Definition ...of time scales are referred to the books [10, 11] and articles ...the time scales required for this ... See full document
16
Lyapunov type inequalities for sequential fractional boundary value problems using Hilfer’s fractional derivative
... Hilfer fractional BVPs were investigated for the first ...Hilfer fractional derivative is a generalization of both Riemann–Liouville and Caputo types fractional derivatives, this requires that ... See full document
22
Related subjects