[PDF] Top 20 Positive solutions of nonlinear boundary value problems for delayed fractional q difference systems

... decades, fractional differential equations have been proved to be valuable tools in the investigation of many phenomena in various fields of science and engineering such as physics, mechanics, chemistry, biology, ... See full document

... The fractional q-difference calculus had its origin in the works by Al-Salam [] and Agarwal ...of fractional q-difference calculus [– ]. Specifically, fractional q-difference ... See full document

... Fractional differential calculus is a discipline to which many researchers are dedicating their time, perhaps because of its demonstrated applications in various fields of science and engineering []. Many ... See full document

... of nonlinear FDE have been studied by some authors, to the best of our knowledge, higher-dimension fractional equation systems are seldom ...the solutions to be positive. Since only ... See full document

... a boundary value problem for a fractional q-difference ...of positive or negative solutions under the nonlinear term is local continuity and local ... See full document

... the boundary value problem of a class of nonlinear fractional q-difference equations with parameter involving the Riemann-Liouville fractional ...some positive ... 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, ... See full document

... the nonlinear fractional differential equation boundary value problem are considered, some sufficient conditions for the nonexistence and existence of at least one or two positive ... See full document

... of fractional differential equations is gaining much importance and ...the boundary value prob- lems of fractional differential equations have been one of the hottest ...on boundary ... See full document

... a nonlinear fractional q-difference equation with nonlocal boundary ...of solutions for the problem is shown by applying some well-known tools of fixed-point theory such as Banach’s ... See full document

... that fractional difference equations have been extensively studied in recent ...years. Systems of discrete fractional boundary value problems are also ...of positive ... See full document

... of solutions for multi-strip fractional q-integral boundary value problems of nonlinear fractional q-difference ...Leray-Schauder’s nonlinear ... See full document

... on q-difference calculus or quantum calculus dates back to the beginning of the th century, when Jackson [, ] introduced the first definition of the ...the fractional q-difference calculus. Later, ... See full document

... of systems and processes in the fields of physics, chemistry, aerodynamics, electrodynamics of complex medium, polymer rheol- ogy, Bode’s analysis of feedback amplifiers, capacitor theory, electrical circuits, ... See full document

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

... two-point boundary value problems of a nonlinear fractional q-difference equation with dependence on the first order ...using q-difference ...one positive solution and ... 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

... Recently, fractional differential equations with p-Laplacian operator have gained its pop- ularity and importance due to its distinguished applications in numerous diverse fields of science and engineering, such as ... See full document

... The aim of our paper is to present some existence results for the problem (1.1). The first result relies on the nonlinear alternative of Leray-Schauder type. In the second result, we apply Banach’s contraction ... See full document

... Riemann-Liouville fractional derivative, a, b are nonnegative constants such that a + b > 0 and ϕ (x, t) is a nonnegative continuous function in (0, 1) × [0, ∞ ) that is required to satisfy some appropriate ... See full document