نتایج جستجو برای: multi order fractional differential equations

تعداد نتایج: 1748668  

In this paper an approximate analytical solution of the fractional Zakharov-Kuznetsov equations will be obtained with the help of the reduced differential transform method (RDTM). It is in-dicated that the solutions obtained by the RDTM are reliable and present an effective method for strongly nonlinear fractional partial differential equations.

2013
Huizeng Qin Bin Zheng

We investigate the oscillation of a class of fractional differential equations with damping term. Based on a certain variable transformation, the fractional differential equations are converted into another differential equations of integer order with respect to the new variable. Then, using Riccati transformation, inequality, and integration average technique, some new oscillatory criteria for...

Journal: :J. Comput. Physics 2014
Qinwu Xu Jan S. Hesthaven

We introduce stable multi-domain spectral penalty methods suitable for solving fractional partial differential equations with fractional derivatives of any order. The fractional derivative is approximated in each sub domain using orthogonal polynomials and stability of the scheme is achieved through weakly imposed boundary and interface conditions by using a penalty term. We discuss accuracy an...

Journal: :bulletin of the iranian mathematical society 0
s. irandoust-pakchin department of applied mathematics‎, ‎faculty of mathematical sciences, university of tabriz‎, ‎tabriz‎, ‎iran. m. lakestani department of applied mathematics‎, ‎faculty of mathematical sciences, university of tabriz‎, ‎tabriz‎, ‎iran. h. ‎kheiri department of applied mathematics‎, ‎faculty of mathematical sciences, university of tabriz‎, ‎tabriz‎, ‎iran.

‎it is commonly accepted that fractional differential equations play‎ ‎an important role in the explanation of many physical phenomena‎. ‎for‎ ‎this reason we need a reliable and efficient technique for the‎ ‎solution of fractional differential equations‎. ‎this paper deals with‎ ‎the numerical solution of a class of fractional differential‎ ‎equation‎. ‎the fractional derivatives are described...

Journal: :Journal of Taibah University for Science 2022

In this manuscript, a numerical method based on the conjunction of Paraskevopoulos's algorithm and operational matrices is developed to solve numerically multi-order linear nonlinear fractional differential equations. By means conjunction, problem decomposed into system equations order which are then solved by employing approach. The accuracy efficiency examined taking some examples. addition, ...

Journal: :Applied Mathematics and Computation 2015
Haibo Gu Juan J. Trujillo

The paper is concerned with existence of mild solution of evolution equation with Hilfer fractional derivative which generalized the famous Riemann–Liouville fractional derivative. By noncompact measure method, we obtain some sufficient conditions to ensure the existence of mild solution. Our results are new and more general to known results. Nowadays, fractional calculus receives increasing at...

Journal: :computational methods for differential equations 0
rahmat khan university of malakand, pakistan aziz khan university of peshawar, pakistan

in this paper, we study sufficient conditions for existence and uniqueness of solutions of three point boundary vale problem for p-laplacian fractional order differential equations. we use schauder's fixed point theorem for existence of solutions and concavity of the operator for uniqueness of solution. we include some examples to show the applicability of our results.

2010
Nick G. Babouskos John T. Katsikadelis

The nonlinear dynamic response of thin plates made of linear viscoelastic material of fractional derivative type is investigated. The resulting governing equations are three coupled nonlinear fractional partial differential equations in terms of displacements. The solution is achieved using the AEM. According to this method the original equations are converted into three uncoupled linear equati...

2015
SONG LIANG RANCHAO WU LIPING CHEN Jocelyn Sabatier

In this article, we show that Laplace transform can be applied to fractional system. To this end, solutions of linear fractional-order equations are first derived by a direct method, without using Laplace transform. Then the solutions of fractional-order differential equations are estimated by employing Gronwall and Hölder inequalities. They are showed be to of exponential order, which are nece...

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