Q-Difference Equations
A Cauchy Problem for Some Fractional q Difference Equations with Nonlocal Conditions
... differential equations with nonlocal conditions in Banach space, [15] ...fractional q-difference equations according to the following ...
7
A study of second order q difference equations with boundary conditions
... the q -difference ...of q - difference ...second-order q -difference equation with anti-periodic boundary conditions appear as a special ...limit q ® 1, which provides a ...
10
On nonlocal boundary value problems of nonlinear q difference equations
... of q-difference equations has evolved into a multidisciplinary subject in the last few ...on q-difference equations, we refer the reader to [1,3-5], whereas the recent ...
10
Anti-periodic boundary value problems involving nonlinear fractional q-difference equations
... fractional q-difference equations have aroused considerable ...fractional q-difference equations by means of some fixed point theorems, such as the Krasnosel’skii fixed-point ...
8
Boundary value problems for fractional q difference equations with nonlocal conditions
... fractional q-difference equation with nonlocal conditions involving the fractional q-derivative of the Caputo type, and the nonlinear term contains a fractional q-derivative of Caputo ...
16
Existence and growth of meromorphic solutions of some nonlinear q difference equations
... includes equations (.) and (.) as its special cases. We define a differential-q-difference polynomial in f , which is a finite sum of prod- ucts of f , derivatives of f and of their q-shifts, with ...
9
Solutions of complex difference and q difference equations
... complex q-difference ...differential equations. When talking about linear q-difference equations, Barnett et ...the q-difference analog of the lemma on the logarith- mic derivative, Zhang ...
22
Multi strip fractional q integral boundary value problems for nonlinear fractional q difference equations
... In this article, we study the existence and uniqueness of solutions for multi-strip fractional q-integral boundary value problems of nonlinear fractional q-difference equations. By using the Banach ...
17
Existence solutions for boundary value problem of nonlinear fractional q difference equations
... fractional q-difference calculus had its origin in the works by Al-Salam [] and Agarwal ...fractional q-difference calculus were made, for example, q-analogues of the integral and differential ...
12
On nonlocal boundary value problems of nonlinear nth order q difference equations
... Ordinary differential equations (ODEs) give a description of phenomena that change con- tinuously. They play an important role in physics, engineering and mathematics. Gener- ally, a solution of a system of ODEs is ...
17
New concepts of fractional quantum calculus and applications to impulsive fractional q difference equations
... of q-integration is reduced to a finite sum, which is the restriction of definition of ...fractional q-integrals and q-derivatives by shifting the point of the origin from zero to be a constant a ∈ R ...
19
Three point boundary value problems for nonlinear second order impulsive q difference equations
... In the present paper we prove existence and uniqueness results for the impulsive bound- ary value problem (.) by using Banach’s contraction mapping principle and Krasnosel- skii’s fixed-point theorem. The rest of this ...
14
Monotone iterative method for nonlinear fractional q difference equations with integral boundary conditions
... Motivated by the results mentioned above and the effectiveness and feasibility of mono- tone iterative method, we consider the existence of positive solutions for fractional q-difference boundary value problem ...
10
Existence of zero order meromorphic solutions of certain q difference equations
... where R(z, f ) is rational in f and meromorphic in z. And they proved if (1) admits an ad- missible finite order meromorphic solution, then either f (z) satisfies a difference Riccati equation or (1) can be transformed into ...
13
Eigenvalue of boundary value problem for nonlinear singular third order q difference equations
... The q-difference equations initiated in the beginning of the th century [–], is a very interesting field in difference ...on q-difference equations, we refer the reader to ...nonlinear ...
8
Existence results for nonlocal boundary value problems of nonlinear fractional q difference equations
... Fractional q-difference equations have recently attracted the attention of several re- ...fractional q-difference equations can be found in ...fractional q-difference equa- tions is at its ...
15
Existence results for impulsive fractional q-difference equations with anti-periodic boundary conditions
... The quantum calculus (calculus without limits or q-calculus) is concerned with differ- ence operators and allows one to deal with sets of nondifferentiable functions. Quantum difference operators appear in several ...
14
Existence and properties of meromorphic solutions of some q difference equations
... a q-difference equation under a condition sim- ilar to Theorem B on meromorphic solution, and they obtained the following ...a q-difference equation of the ...
9
Existence results for fractional q difference equations with nonlocal q integral boundary conditions
... which R + = [, + ∞ ). To the authors’ knowledge, no one has studied the existence of posi- tive solutions for the fractional q-difference boundary value problem (.). In the present work, we gave the ...
15
Existence and Ulam stability for implicit fractional q difference equations
... This paper deals with some existence, uniqueness and Ulam–Hyers–Rassias stability results for a class of implicit fractional q-difference equations. Some applications are made of some fixed point theorems in ...
12