Geodesic
IVPs for singular multi-term fractional differential equations with multiple base points and applications
Yuji Liu1 ; Pinghua Yang2
1Department of Mathematics Guangdong University of Finance and Economics Guangzhou 510320, P.R. China
2Department of Basic Courses Shijiazhuang Mechanical Engineering College Shijiazhuang 050000, P.R. China
Applicationes Mathematicae, Tome 41 (2014) no. 4, pp. 361-384
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The purpose of this paper is to study global existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations. By constructing a special Banach space and employing fixed-point theorems, some sufficient conditions are obtained for the global existence and uniqueness of solutions of this kind of equations involving Caputo fractional derivatives and multiple base points. We apply the results to solve the forced logistic model with multi-term fractional derivatives.
DOI : 10.4064/am41-4-7
Keywords: purpose paper study global existence uniqueness solutions initial value problems nonlinear fractional differential equations constructing special banach space employing fixed point theorems sufficient conditions obtained global existence uniqueness solutions kind equations involving caputo fractional derivatives multiple base points apply results solve forced logistic model multi term fractional derivatives

Yuji Liu  1   ; Pinghua Yang  2

1 Department of Mathematics Guangdong University of Finance and Economics Guangzhou 510320, P.R. China
2 Department of Basic Courses Shijiazhuang Mechanical Engineering College Shijiazhuang 050000, P.R. China 
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Yuji Liu; Pinghua Yang. IVPs for singular multi-term fractional differential equations with multiple base points and applications. Applicationes Mathematicae, Tome 41 (2014) no. 4, pp. 361-384. doi: 10.4064/am41-4-7

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