[PDF] Top 20 Applications of a generalized q difference equation
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Applications of a generalized q difference equation
... of q-polynomials and q-integral have been investigated rather widely and extensively due mainly to their having been found to be potentially useful in such wide variety of fields as theory of partitions, ... See full document
19
Ulam stability of Caputo q fractional delay difference equation: q fractional Gronwall inequality approach
... a generalized Gronwall inequality and studied the dependence of the solution on the order and the initial condition of a fractional differential ...the generalized proportional fractional ...to ... See full document
13
Lyapunov inequalities of left focal q difference boundary value problems and applications
... 3 Lyapunov-type inequalities of linear fractional q-difference equation At first, we need an integral representation of the solution to problem (1.1) and (1.3). Lemma 3.1 Function u ∈ [a, b] is a ... See full document
14
Development of a Generalized Finite Difference Scheme for Convection-Diffusion Equation
... Finite Difference, Finite Volume and Finite ...Finite Difference is the most efficient and, since it is a relatively straightforward method, it is often used in developing numerical formulations to deal ... See full document
94
Generalized finite difference/spectral Galerkin approximations for the time fractional telegraph equation
... potential applications in various realms of science and engineer- ing ...telegraph equation, as a typical diffusion-wave equation, is com- monly used in propagation of electrical signals [], random ... See full document
16
Solutions of complex difference and q difference equations
... complex q-difference ...linear q-difference equations, Barnett et ...the q-difference analog of the lemma on the logarith- mic derivative, Zhang and Korhonen [] investigated the relation of the ... See full document
22
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
13
Monotone iterative technique for a nonlinear fractional q difference equation of Caputo type
... or q-calculus) is not of recent ...of applications in different mathematical areas, such as number theory, combinatorics, special functions, basic hyper-geometric functions, the calculus of vari- ations, ... See full document
11
On a nonlocal boundary value problem for nonlinear second order Hahn difference equation with two different \(q,\omega\) derivatives
... In , Malinowska and Torres [, ] introduced the Hahn quantum variational cal- culus. In , Malinowska and Martins [] studied the generalized transversality con- ditions for the Hahn quantum variational ... See full document
25
Existence of solutions for fractional q difference equation with mixed nonlinear boundary conditions
... To the best of our knowledge, very few authors consider the boundary value problem of fractional q-difference equations with mixed nonlinear boundary conditions. Theories and applications seem to be just ... See full document
14
Nonlinear second-order impulsive q-difference Langevin equation with boundary conditions
... have applications in various disciplines of science and engineering such as mechanics, electricity, chemistry, biology, economics, control theory, signal and image processing, polymer rheology, regu- lar variation ... See full document
19
Finite difference method for numerical solution of a generalized burgers-huxley equation
... the equation. Numerical solutions of the equation was obtained using a polynomial differential quadrature method (DQM) by Sari and Gurarslan in ...finite difference method (FDM) for the highest order ... See full document
31
Existence of positive solutions of nonlinear fractional q difference equation with parameter
... fractional q-difference equations with parameter involving the Riemann-Liouville fractional ...As applications, some examples are presented to illustrate our main ... See full document
13
A generalized q fractional Gronwall inequality and its applications to nonlinear delay q fractional difference systems
... of q-difference equations has gained intensive interest in the last ...numerous applications in diverse fields and thus have evolved into multidisciplinary subjects ...on q-calculus, we refer the ... See full document
13
On the Conservative Finite Difference Scheme for the Generalized Novikov Equation
... KdV equation, the mKdV equation, and the Schrodinger equation ...CH Equation (1.1) was proved in [15] [16]. A similar integrable equation with quadratic nonlinearities was the ... See full document
15
2. Generalized $q$-Hermite Polynomials and the $q$-Dunkl Heat Equation
... Their applications cover many do- mains in applied and pure ...differential equation involving classical ...heat equation for generalized oper- ators lead to generalizations of the Hermite ... See full document
28
Successful Cryptanalysis upon a Generalized RSA Key Equation
... 2 q has found in many applications in ...2 q in an electronic cash ...2 q has been proposed which this method is a vari- ation of Ellicptic Curve Method (ECM) and was suggested to be slightly ... See full document
12
Generalized Euler Numbers and Polynomials Associated with Adic Integral on
... q ≤ 9/10 and −5 ≤ x ≤ 5, with the zero contour indicated in black Figure 5. In Figure 5 top- left, we choose n 1, w 2, and a 2. In Figure 5 top-right, we choose n 2, w 2, and a 2. In Figure 5 bottom-left, we ... See full document
15
Generalized q Taylor formulas
... of generalized Taylor formulas involving the classical fractional derivative may be found in [, ...a generalized Taylor formula involving the classical Riemann- Liouville fractional derivative of order α ... See full document
12
Existence of Positive Solutions for Boundary Value Problem of Nonlinear Fractional q Difference Equation
... 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
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