[PDF] Top 20 Nonlocal boundary value problems for impulsive fractional \(q {k}\) difference equations
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Nonlocal boundary value problems for impulsive fractional \(q {k}\) difference equations
... Setting Q(x) = (x/) + , V(x) = (x/) + (/), p ∗ = /, and β = , there exists a constant M ∗ > . satisfying (.). Thus, the hypothesis of Theorem . is satisfied. In consequence, the ... See full document
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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 ... See full document
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Existence results for fractional q difference equations with nonlocal q integral boundary conditions
... In this paper, we discuss the existence of positive solutions for nonlocal q-integral boundary value problems of fractional q-difference equations. By applying the ... See full document
15
Boundary value problems for fractional differential equations with nonlocal boundary conditions
... differential equations boundary value problems with nonlocal boundary conditions arise in a variety of different areas of applied mathemat- ics and ...to nonlocal ... See full document
12
Positive solutions to boundary value problems of fractional difference equation with nonlocal conditions
... of fractional differential equations and their applications has received inten- sive ...difference equations is still ...on fractional difference equations have appeared ...discrete ... See full document
12
Nonlocal Boundary Value Problem for Impulsive Differential Equations of Fractional Order
... multiple-point boundary value problem for fractional differential equations,” Computers & Mathematics with Applications, ...four-point nonlocal boundary value ... See full document
16
Anti-periodic boundary value problems involving nonlinear fractional q-difference equations
... The fractional q-difference calculus had its origin in the works by Al-Salam [8] and Agarwal ...the fractional differential calculus setting, new develop- ments in this theory of ... See full document
8
Solvability of triple point integral boundary value problems for a class of impulsive fractional differential equations
... As we know, many evolutionary processes experience short-time rapid change after un- dergoing relatively long smooth variation. In order to describe the dynamics of popula- tions subject to abrupt changes as well as ... See full document
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A coupled system of fractional q integro difference equations with nonlocal fractional q integral boundary conditions
... of boundary value problems for fractional q-integro-difference equations with nonlocal fractional q-integral conditions which have different quantum ...of ... See full document
21
Impulsive boundary value problems containing Caputo fractional derivative of a function with respect to another function
... Impulsive boundary value problems corresponding to integer-order differential equations with impulsive conditions have been considered extensively in the literature; see [1–3] and ... See full document
17
Separated boundary value problems for second order impulsive q integro difference equations
... Proof We transform the boundary value problem (.) into a fixed point problem, x = Ax, where the operator A is defined by (.). By using the Banach contraction mapping prin- ciple, we shall show that A has ... See full document
23
Boundary value problems of the nonlinear multiple base points impulsive fractional differential equations with constant coefficients
... The paper is organized as follows. In Section , we present some basic concepts, the notations about the fractional calculus and the properties of the Mittag-Leffler functions. In Section , we present the definition ... See full document
14
Positive solutions for singular coupled integral boundary value problems of nonlinear higher order fractional q difference equations
... 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
22
Fractional Differential Equations and Inclusions with Nonlocal Generalized Riemann-Liouville Integral Boundary Conditions
... of nonlocal boundary value problems of nonlinear fractional differential equations and inclusions supplemented with nonlocal and generalized Riemann- Liouville ... See full document
17
Impulsive fractional quantum Hahn difference boundary value problems
... of boundary value problems for impulsive Caputo type fractional Hahn difference equations, by using the Banach contraction mapping principle and the nonlinear alternative of ... See full document
18
Ulam stability results to a class of nonlinear implicit boundary value problems of impulsive fractional differential equations
... implicit impulsive FODEs has at least one ...nonlinear problems from optimiza- tion and numerical point of view and plays a main role in numerical solutions where the exact solution is quite ... See full document
21
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 ... See full document
14
Multi strip fractional q integral boundary value problems for nonlinear fractional q difference equations
... Note that the operator A : U → C is continuous and completely continuous. From the choice of U, there is no u ∈ ∂U such that u = λ Au for some λ ∈ (, ). Consequently, by nonlinear alternative of Leray-Schauder type ... See full document
17
Existence results for nonlocal boundary value problems of nonlinear fractional q difference equations
... on q-difference calculus or quantum calculus dates back to Jackson’s papers [, ], while a systematic treatment of the subject can be found in [, ...on q-difference equations, see [–] and the ... See full document
15
On nonlocal fractional sum difference boundary value problems for Caputo fractional functional difference equations with delay
... existence of positive solutions are obtained by Krasnosel’skii fixed point theorem. Reunsumrit et al. [] obtained sufficient conditions for the existence of positive solu- tions for the three-point fractional sum ... See full document
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