General Solution of Linear Fractional Neutral Differential Difference Equations | Zendy

Hai Zhang | Zendy; Jinde Cao | Zendy; Jiang Wei | Zendy

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General Solution of Linear Fractional Neutral Differential Difference Equations

Author(s) -

Hai Zhang,

Jinde Cao,

Jiang Wei

Publication year - 2013

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2013/489521

Subject(s) - mathematics , laplace transform , linear differential equation , mathematical analysis , differential equation , exponential function , gronwall's inequality , constant (computer programming) , exponential integrator , variation of parameters , ordinary differential equation , differential algebraic equation , inequality , computer science , programming language

This paper is concerned with the general solution of linear fractional neutral differential difference equations. The exponential estimates of the solution and the variation of constant formula for linear fractional neutral differential difference equations are derived by using the Gronwall integral inequality and the Laplace transform method, respectively. The obtained results extend the corresponding ones of integer order linear ordinary differential equations and delay differential equations

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