نتایج جستجو برای: jumaries modified riemannliouville fractional derivative

تعداد نتایج: 367237  

Journal: :iranian journal of science and technology transactions of mechanical engineering 2015
d. dönmez demi̇r b. g. si̇ni̇r n. bi̇ldi̇k

in this paper, the dynamical behavior of an axially moving string modeled by fractional derivative is investigated. the governing equation represented motion is solved by the method of multiple scales. considering principal parametric resonance, the stability boundaries for string with simple supports are obtained. numerical results indicate the effects of fractional damping on stability.

Journal: :iranian journal of science and technology (sciences) 2013
h. kheiri

a computational method for numerical solution of a nonlinear volterra and fredholm integro-differentialequations of fractional order based on chebyshev cardinal functions is introduced. the chebyshev cardinaloperational matrix of fractional derivative is derived and used to transform the main equation to a system ofalgebraic equations. some examples are included to demonstrate the validity and ...

2017
JOEL A. ROSENFELD

This paper introduces techniques for the estimation of solutions to fractional order differential equations (FODEs) and the approximation of a function’s Caputo fractional derivative. These techniques are based on scattered data interpolation via reproducing kernel Hilbert spaces (RKHSs). Specifically, an RKHS is generated for the purpose of estimating fractional derivatives from the Mittag-Lef...

Journal: :Mathematical Methods in The Applied Sciences 2021

In this paper, a modified nonlinear Schrödinger equation with spatiotemporal dispersion is formulated in the senses of Caputo fractional derivative and conformable derivative. A new generalized double Laplace transform coupled Adomian decomposition method has been defined applied to solve newly dispersion. The approximate analytical solutions are obtained compared each other graphically.

Journal: :نظریه تقریب و کاربرد های آن 0
a. neamaty department of mathematics, university of mazandaran, babolsar, iran b. agheli department of mathematics, qaemshahr branch, islamic azad university, qaemshahr, iran r. darzi department of mathematics, neka branch, islamic azad university, neka, iran

in this work, we have applied elzaki transform and he's homotopy perturbation method to solvepartial di erential equation (pdes) with time-fractional derivative. with help he's homotopy per-turbation, we can handle the nonlinear terms. further, we have applied this suggested he's homotopyperturbation method in order to reformulate initial value problem. some illustrative examples...

Journal: :computational methods for differential equations 0
amjad ali university of malakand kamal shah university of malakand rahmat ali khan department of mathematics university of malakand

this paper is devoted to the study of establishing sufficient conditions forexistence and uniqueness of positive solution to a class ofnon-linear problems of fractional differential equations. the boundary conditionsinvolved riemann-liouville fractional order derivative and integral. further, the non-linear function $f$ containfractional order derivative which produce extra complexity. thank to...

Obtaining analytical or numerical solution of fractional differential equations is one of the troublesome and challenging issue among mathematicians and engineers, specifically in recent years. The purpose of this paper Lie Symmetry method is developed to solve second-order fractional differential equations, based on conformable fractional derivative. Some numerical examples are presented to il...

2016
ALPER KORKMAZ

The three dimensional conformable time fractional KadomtsevPetviashvili and the conformable time fractional modified Kawahara equations are solved by implementing the Kudryashov’s procedure. The corresponding wave transformation reduces both equations to some ODEs. Balancing the nonlinear and the highest order derivative terms gives the structure of the solutions in the finite series form. The ...

2014
Mridula Garg

In the present paper we give a fractional generalization of the Lauwerier formulation of the boundary value problem of the temperature field in oil strata. The Caputo fractional derivative operator and the Laplace transform are the important tools for solving the proposed problem. By using Efros’ theorem which is a modified form of convolution theorem for Laplace transform, the solution is obta...

Journal: :sahand communications in mathematical analysis 0
hassan kamil jassim department of mathematics, faculty of education for pure sciences, university of thi-qar, nasiriyah, iraq.

in this paper, we apply the local fractional laplace transform method (or yang-laplace transform) on volterra integro-differential equations of the second kind within the local fractional integral operators to obtain the analytical approximate solutions. the iteration procedure is based on local fractional derivative operators. this approach provides us with a convenient way to find a solution ...

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