The Existence of Solutions For a Nonlinear Mixed Problem of Singular Fractional Differential Equations

Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram

dc.contributor.author	Baleanu, Dumitru
dc.contributor.author	Mohammadi, Hakimeh
dc.contributor.author	Rezapour, Shahram
dc.date.accessioned	2020-04-29T22:49:30Z
dc.date.available	2020-04-29T22:49:30Z
dc.date.issued	2013-12-11
dc.identifier.citation	Baleanu, Dumitru...et al. (2013). "The Existence of Solutions For a Nonlinear Mixed Problem of Singular Fractional Differential Equations", Advances In Difference Equations.	tr_TR
dc.identifier.issn	1687-1847
dc.identifier.uri	http://hdl.handle.net/20.500.12416/3526
dc.description.abstract	By using fixed point results on cones, we study the existence of solutions for the singular nonlinear fractional boundary value problem (c)D(alpha)u(t) = f(t, u(t), u'(t), (c)D(beta)u(t)), u(0) = au(1), u'(0) = b(c)D(beta)u(1), u ''(0) = u'''(0) = u((n-1))(0) = 0, where n >= 3 is an integer, alpha is an element of (n - 1, n), 0 < beta < 1, 0 < a < 1, 0 < b < Gamma (2 - beta), f is an L-q-Caratheodory function, q > 1/alpha-1 and f(t,x,y,z) may be singular at value 0 in one dimension of its space variables x, y, z. Here, D-c stands for the Caputo fractional derivative.	tr_TR
dc.language.iso	eng	tr_TR
dc.publisher	Springer Open	tr_TR
dc.relation.isversionof	10.1186/1687-1847-2013-359	tr_TR
dc.rights	info:eu-repo/semantics/openAccess	tr_TR
dc.subject	Boundary Value Problem	tr_TR
dc.subject	Fixed Point	tr_TR
dc.subject	Fractional Differential Equation	tr_TR
dc.subject	Green Function	tr_TR
dc.subject	Regularization	tr_TR
dc.subject	Singular	tr_TR
dc.title	The Existence of Solutions For a Nonlinear Mixed Problem of Singular Fractional Differential Equations	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Advances In Difference Equations	tr_TR
dc.contributor.authorID	56389	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü	tr_TR