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2 results on '"FRACTIONAL differential equations"'

1. EXISTENCE RESULTS FOR RANDOM FRACTIONAL DIFFERENTIAL EQUATIONS.

Author

Lupulescu, Vasile, O'Regan, Donal, and ur Rahman, Ghaus

Subjects
*EXISTENCE theorems, *FRACTIONAL differential equations, *CARATHEODORY measure, *MATHEMATICAL proofs, *UNIQUENESS (Mathematics)
Abstract

In this paper, an existence result for a random fractional differential equation is established under a Carathéodory condition. Existence results for extremal random solutions are also proved. Finally, an existence and uniqueness result is given. [ABSTRACT FROM AUTHOR]

Published
2014
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2. REMARKS FOR ONE-DIMENSIONAL FRACTIONAL EQUATIONS.

Author

Ferrara, Massimiliano and Bisci, Giovanni Molica

Subjects
*DIMENSIONAL analysis, *SET theory, *DIRICHLET problem, *BOUNDARY value problems, *CAPUTO fractional derivatives
Abstract

In this paper we study a class of one-dimensional Dirichlet boundary value problems involving the Caputo fractional derivatives. The existence of infinitely many solutions for this equations is obtained by exploiting a recent abstract result. Concrete examples of applications are presented. [ABSTRACT FROM AUTHOR]

Published
2014
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