منابع مشابه
Positive solutions for discrete fractional initial value problem
In this paper, the existence and uniqueness of positive solutions for a class of nonlinear initial value problem for a finite fractional difference equation obtained by constructing the upper and lower control functions of nonlinear term without any monotone requirement .The solutions of fractional difference equation are the size of tumor in model tumor growth described by the Gompertz f...
متن کاملOn the existence and uniqueness of solution of initial value problem for fractional order differential equations on time scales
n this paper, at first the concept of Caputo fractionalderivative is generalized on time scales. Then the fractional orderdifferential equations are introduced on time scales. Finally,sufficient and necessary conditions are presented for the existenceand uniqueness of solution of initial valueproblem including fractional order differential equations.
متن کاملpositive solutions for discrete fractional initial value problem
in this paper, the existence and uniqueness of positive solutions for a class of nonlinear initial value problem for a finite fractional difference equation obtained by constructing the upper and lower control functions of nonlinear term without any monotone requirement .the solutions of fractional difference equation are the size of tumor in model tumor growth described by the gompertz f...
متن کاملApproximate Solution of the Second Order Initial Value Problem by Using Epsilon Modified Block-Pulse Function
The present work approaches the problem of achieving the approximate solution of the second order initial value problems (IVPs) via its conversion into a Volterra integral equation of the second kind (VIE2). Therefore, we initially solve the IVPs using Runge–Kutta of the forth–order method (RK), and then convert it into VIE2, and apply the εmodified block–pulse functions (εMBPFs) and their oper...
متن کاملon the existence and uniqueness of solution of initial value problem for fractional order differential equations on time scales
n this paper, at first the concept of caputo fractionalderivative is generalized on time scales. then the fractional orderdifferential equations are introduced on time scales. finally,sufficient and necessary conditions are presented for the existenceand uniqueness of solution of initial valueproblem including fractional order differential equations.
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ژورنال
عنوان ژورنال: Cogent Mathematics
سال: 2015
ISSN: 2331-1835
DOI: 10.1080/23311835.2015.1004797