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Your search keyword '"Fractional integral"' showing total 3 results
Start Over Descriptor "Fractional integral" Topic fixed point theory Topic fractional calculus Topic mathematical analysis
3 results on '"Fractional integral"'

1. Bounded solutions for boundary value problems for fractional differential equations on a Banach space and the half line.

Author

Benchohra, Mouffak and Seba, Djamila

Subjects
*BANACH spaces, *DIFFERENTIAL equations, *BOUNDARY value problems, *FRACTIONAL calculus, *FIXED point theory, *MATHEMATICAL analysis
Abstract

In this paper, we prove the existence of solutions, for a class of boundary value problem for fractional differential equations involving the Riemann-Liouville fractional derivative on an unbounded interval in Banach spaces. Our main tool is the technique of measures of noncompactness combined with Mönch's fixed point theorem and the diagonalization process. [ABSTRACT FROM AUTHOR]

Published
2011

2. Nonlocal and multiple-point boundary value problem for fractional differential equations

Author

Zhong, Wenyong and Lin, Wei

Subjects
*BOUNDARY value problems, *FRACTIONAL calculus, *DIFFERENTIAL equations, *FIXED point theory, *FRACTIONAL integrals, *MATHEMATICAL analysis
Abstract

Abstract: In the light of the fixed point theorems, we analytically establish the conditions for the uniqueness of solutions as well as the existence of at least one solution in the nonlocal boundary value problem for a specific kind of nonlinear fractional differential equation. Furthermore, we provide a representative example to illustrate a possible application of the established analytical results. [Copyright &y& Elsevier]

Published
2010
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3. Impulsive fractional differential equations with variable times

Author

Benchohra, Mouffak and Berhoun, Farida

Subjects
*FRACTIONAL calculus, *DIFFERENTIAL equations, *MATHEMATICAL variables, *INITIAL value problems, *FIXED point theory, *MATHEMATICAL analysis
Abstract

Abstract: In this paper, we establish sufficient conditions for the existence of solutions for a class of initial value problem for impulsive fractional differential equations with variable times involving the Caputo fractional derivative. [Copyright &y& Elsevier]

Published
2010
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