[PDF] Top 20 Positive and negative solutions of a boundary value problem for a fractional q difference equation

... the q-difference calculus has developed into a demonstrated popular tool for the description of experimental data refer to the mathe- matical ...develop q- calculus in a systematic way, introduced the notion ... See full document

... about fractional q-calculus and fractional q-differential equation ...the fractional quantum difference equation has also attracted the attention of many researchers in ... See full document

... the positive solutions for the singular coupled integral boundary value problem of nonlinear higher-order fractional q-difference ...the problem are ... See full document

... Al-Askar, “On the Existence of Positive Solutions for a Boundary Value Problem of Fracntional Order,” International Journal of Mathematical Analysis, Vol.. Lü, “Positive Solutions for Bo[r] ... See full document

... the boundary value of nonlinear fractional q-difference equations with ...of solutions for the following two-point boundary value problem of nonlinear ... See full document

... Recently, boundary value problems of nonlinear fractional q-difference equations have aroused considerable ...of solutions or positive solutions for boundary ... See full document

... of positive solutions for the nonlocal BVP () based on a fixed point theorem of a sum opera- ...of positive solutions are obtained, which possess a nice estimate, ...the boundary ... See full document

... continuous fractional calculus. Among all the topics, boundary value problems for fractional differential equations have attracted considerable attention ...discrete fractional calculus ... See full document

... the fractional differential equations, see [5– 23] and the references ...of positive solutions for fractional differential equation multipoint boundary value problems (BVPs) ... See full document

... using fractional derivative formulations [6,7], thus many works on the basic theory of fractional calculus and fractional order differential equations have been established ... See full document

... of fractional differential equations has been a new important math- ematical branch due to its wide applications in different research areas and engineering, such as physics, chemistry, economics, control of ... See full document

... The q-difference calculus or quantum calculus is an old subject and is rich in history and in ...the positive solution for the frac- tional boundary value problem with ... See full document

... iterative scheme is constructed for approximating the solution. As far as we know, there are still very few works utilizing the fixed point results for mixed monotone operators to study the existence and uniqueness of a ... See full document

... of fractional calculus and fractional differential ...for fractional differential ...in boundary value problems for fractional differential ... See full document

... that fractional differential equation’s modeling capabilities in engineering, science, economy, and other fields, have resulted in a rapid development of the theory of fractional differential equations in the ... See full document

... of fractional differential equations has become an important aspect of differential equations; see ...[1–8]. Fractional differential equations can describe many phenomena in various fields of science and ... See full document

... u(0) = 0, u(1) + σ D γ 0+ u(1) = 0, D α 0+ u(0) = 0, (1:5) where D β 0+ , D α 0+ and D γ 0+ are the standard Riemann-Liouville derivative with 1 <a ≤ 2, 0 <b ≤ 1, 0 <g ≤ 1, 0 ≤ a - g - 1, the constant s is a ... See full document

... On the other hand, we know that delay arises naturally in practical systems due to the transmission of signal or the mechanical transmission. Though theory of ordinary differential equations with delays is mature, not ... See full document

... higher-dimension fractional equation systems are seldom ...the solutions to be positive. Since only positive solutions are useful for many applications, we investigate the ... See full document

... years, fractional differential equations arise in many engineering and scien- tific fields such as mathematical modeling of systems physics, chemistry, aerodynamics, electrodynamics of complex medium, polymer ... See full document