Floquet boundary value problem of fractional functional differential equations.
Zhou, Yong, Tian, Yuansheng, He, Yun-Yun (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Zhou, Yong, Tian, Yuansheng, He, Yun-Yun (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Sotiris K. Ntouyas (2013)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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This paper studies a new class of nonlocal boundary value problems of nonlinear differential equations and inclusions of fractional order with fractional integral boundary conditions. Some new existence results are obtained by using standard fixed point theorems and Leray-Schauder degree theory. Some illustrative examples are also discussed.
Amina Boucenna, Toufik Moussaoui (2014)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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The aim of this paper is to study the existence of solutions to a boundary value problem associated to a nonlinear fractional differential equation where the nonlinear term depends on a fractional derivative of lower order posed on the half-line. An appropriate compactness criterion and suitable Banach spaces are used and so a fixed point theorem is applied to obtain fixed points which are solutions of our problem.
Benchohra, Mouffak, Hamani, Samira, Ntouyas, Sotiris K. (2008)
Surveys in Mathematics and its Applications
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Wang, Xiaojing, Bai, Chuanzhi (2011)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Benchohra, Mouffak, Slimani, Boualem Attou (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Anguraj, A., Karthikeyan, P. (2010)
Fractional Calculus and Applied Analysis
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MSC 2010: 34A37, 34B15, 26A33, 34C25, 34K37 In this paper we prove the existence of solutions for fractional impulsive differential equations with antiperiodic boundary condition in Banach spaces. The results are obtained by using fractional calculus' techniques and the fixed point theorems.
Abbas, Syed (2011)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Tariboon Jessada, Sotiris K. Ntouyas, Suphawat Asawasamrit, Chanon Promsakon (2017)
Open Mathematics
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In this paper, we investigate the existence of positive solutions for Hadamard type fractional differential system with coupled nonlocal fractional integral boundary conditions on an infinite domain. Our analysis relies on Guo-Krasnoselskii’s and Leggett-Williams fixed point theorems. The obtained results are well illustrated with the aid of examples.
Ahmad, Bashir, Nieto, Juan J. (2010)
International Journal of Differential Equations
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Pei-Luan Li, Chang-Jin Xu (2015)
Open Mathematics
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In this paper, we investigate the boundary value problems of fractional order differential equations with not instantaneous impulse. By some fixed-point theorems, the existence results of mild solution are established. At last, one example is also given to illustrate the results.
Henderson, Johnny, Luca, Rodica
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We investigate the existence and multiplicity of positive solutions for a system of nonlinear Riemann-Liouville fractional differential equations with nonnegative nonlinearities which can be nonsingular or singular functions, subject to multi-point boundary conditions that contain fractional derivatives.
Benchohra, M., Seba, D. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Mouffak Benchohra, Samira Hamani (2008)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper, we shall establish sufficient conditions for the existence of solutions for a boundary value problem for fractional differential inclusions. Both cases of convex valued and nonconvex valued right hand sides are considered.