[PDF] Top 20 Nonexistence of positive solutions for a system of coupled fractional boundary value problems

... the boundary conditions (BC) was investigated in [], where the nonlinearities f and g are nonsingular or singular ...of positive solutions for (S)-(BC) (u(t) ≥ , v(t) ≥  for all t ∈ [, ], and ... See full document

... of fractional coupled systems with Riemann-Stieltjes integral boundary conditions and generalized p-Laplacian which involves two different ...and nonexistence of positive ... See full document

... Fractional differential equations describe many phenomena in various fields of engineer- ing and scientific disciplines such as physics, biophysics, chemistry, biology, economics, control theory, signal and image ... See full document

... of boundary value problems associated with ordinary differential equations were studied by many authors [14, 1, 2] and extended to p-Laplacian boundary value prob- lems [4, 22, ...to ... See full document

... called fractional calculus ...the fractional derivatives are not a point quantity. Indeed, the fractional derivative of a function of order α at some point is a local property only for α being an ... See full document

... Multipoint boundary value problems BVPs arise in different areas of applied mathematics and ...Multipoint boundary value problem 1. Many problems in the theory of elastic ... See full document

... of solutions to boundary value problems for fractional differential equations had attracted the attention of many authors, see for example, [4, 6, 8, 9, 15, 16, 19, 27] and the ... See full document

... of fractional equations have been studied. The nonexistence of positive solutions of boundary value problems associated with ordinary differential equations were studied ... See full document

... initial value problems of FDE involving Riemann-Liouville differential operator has been discussed by Lakshmikantham 5–7, El-Sayed et ...of solutions for nonlinear FDE boundary value ... See full document

... This paper is organized as follows. In Section , we review some preliminaries and lem- mas. In Section , a theorem and five corollaries about the existence of at least one positive solution of problem ()-() are ... See full document

... of boundary value problems for ordinary differential equations and functional differential equations plays an important role in many research fields of science and engi- neering; for details, see [–] ... See full document

... hand, fractional differential operator is nonlocal and thus fractional dif- ferential equations serve as an excellent tool for the description of hereditary properties of various materials and processes and ... See full document

... In the sequel, we present a sufficient condition for the existence and uniqueness of positive solutions for Problem (2) (positive solution means x(t) > 0 for t Î (0, 1)). The proof of this ... See full document

... the nonexistence of positive solution to BVP ...the nonexistence results of positive solution are obtained under conditions concerning the spectral radius of the relevant lin- ear ...nonlocal ... See full document

... The system of fractional differential equations boundary value problems with p- Laplacian operator have also received much attention and have developed very rapidly, see ...following ... See full document

... of positive solutions for FBVP ...the nonexistence of positive ...a positive solution to FBVP ...a positive solution to the boundary value problem of nonlinear ... See full document

... above mentioned literature, we investigate the existence of positive solutions to the infinite system (1.1). Our considerations will be placed in the Banach space c consisting of all con- vergent ... See full document

... about fractional differential equations have received much develop- ment, and many applications of fractional differential equations have appeared in some fields which include physics, engineering, biological ... See full document

... The system (S) with λ = μ = , and with f (t, u, v) and g(t, u, v) replaced by f (t, v) and g(t, u), respectively, with the boundary conditions (BC), was studied in ...of positive solutions ... See full document

... Under the assumptions (H) and (H), using also Lemma ., it is easy to see that A, B , and C are completely continuous from P to P. Thus the existence and multiplicity of positive solutions of the ... See full document