[PDF] Top 20 Multiple positive solutions for a coupled system of nonlinear impulsive fractional differential equations with parameters

... the nonlinear coupled system (1), it is chal- lenging to deal with the existence of multiple PSs for BVPs ...the nonlinear coupled system by constructing the associated ... See full document

... of nonlinear analysis as the fixed point theorems, the coincidence degree theory, the monotone iterative methods, critical point theory, and variational methods, many researchers have explored the existence and ... See full document

... Caputo-type fractional differential ...of nonlinear Hadamard fractional differen- tial equations ...of solutions for Hadamard-type fractional differential equations for ... See full document

... Recently, fractional coupled systems of differential equations have gained more attention in different fields of science and engineering such as physics, control systems and dynam- ical ...for ... See full document

... one positive solution subject to the assumptions: f : [, ∞) × R → [, ∞) is continuous; and there exist a nondecreasing function ω ∈ C([, ∞), [, ∞)) and a function φ ∈ L  [, ∞) such that |f (t, ( + t α– ... See full document

... of positive solutions for the system of nonlinear Hadamard fractional differential equations ...for nonlinear terms are not as restrictive as those in (H) Yang1 and (H) ... See full document

... of nonlinear coupled fractional differential equations and nonlocal coupled integro-multistrip-multipoint boundary ...the nonlinear functions involved in the given ... See full document

... a coupled system of impulsive boundary value problems for nonlinear fractional order differential equations involving Caputo type fractional deriva- ...of positive ... See full document

... from fractional calculus and then, considering fixed point theory, we represent the Leray − Schauder fixed point index theorem and some related ...Liouville fractional integral of order α > 0 for given ... See full document

... or multiple positive solutions of the above nonlinear fractional differential equation are ...a nonlinear alternative of the Schauder and Guo-Krasnosel’skii fixed point theorem on ... See full document

... order differential equations are available in various disciplines of sci- ence and technology, we refer to [4, 6, 15, 19, 22, 25] for some of the ...These equations have solutions under ... See full document

... Recently, coupled systems of fractional differential equations with a variety of boundary value conditions have been studied by many people; see [–] and the references ...known, coupled ... See full document

... Fractional differential equations can describe many phe- nomena in various fields of engineering and scientific disciplines such as control theory, physics, chemistry, biology, economics, mechanics ... See full document

... Fractional differential equations have been of great interest ...of fractional calculus itself and applications, see ...of solutions of nonlinear fractional ... See full document

... of positive solutions for a class of fractional differential equation with nonlinear boundary conditions are ...unique positive solution and construct two iterative sequences to ... See full document

... of positive solutions of problem ...lower solutions method and Schauder’s fixed point ...of fractional differential equation with p-Laplacian ... See full document

... It is well known that the cone plays a very important ... role in applying the Green function in research area. In [7], the authors cannot acquire a positive constant taken instead of the role of positive ... See full document

... the fractional differential equations have received more and more atten- ...The fractional derivative has been occurring in many physical applications such as a non-Markovian diffusion process with ... See full document

... of solutions to the fractional differential equations of order α ∈ (, ) with constant ...the impulsive fractional differential equations with anti-periodic boundary con- ditions ... See full document

... In the proof of our main results we shall use the nonlinear alternative of Leray-Schauder type and the Guo-Krasnosel’skii fixed point theorem presented below (see [, ]). Theorem . Let X be a Banach space with ... See full document