[PDF] Top 20 Boundary value problems for fractional q difference equations with nonlocal conditions
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Boundary value problems for fractional q difference equations with nonlocal conditions
... where < q < , < α < , f : C((, ), (, ∞ )). They proved the existence of positive so- lutions for boundary value problems by utilizing a fixed-point theorem in cones. ... See full document
16
A Cauchy Problem for Some Fractional q Difference Equations with Nonlocal Conditions
... differential equations with nonlocal conditions in Banach space, [15] ...the nonlocal problem for the fractional differential equation in Banach ...nonlinear fractional ... See full document
7
Anti-periodic boundary value problems involving nonlinear fractional q-difference equations
... Recently, boundary value problems of nonlinear fractional q-difference equations have aroused considerable ...for boundary value problems of nonlinear ... See full document
8
Boundary value problems of fractional q-difference equations on the half-line
... the fractional q-difference calculus can be traced back to the works in [4] by Al-salam and ...the fractional differ- ential equations, an interest has been observed in studying boundary ... See full document
16
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
Multi strip fractional q integral boundary value problems for nonlinear fractional q difference equations
... q-Difference calculus or quantum calculus was initiated by Jackson []. Basic defini- tions and properties of quantum calculus can be found in the book []. The fractional q- difference calculus had its ... See full document
17
Positive solutions for singular coupled integral boundary value problems of nonlinear higher order fractional q difference equations
... integral boundary value problem of nonlinear higher-order fractional q-difference ...sufficient conditions for the existence and uniqueness results of the problem are ... See full document
22
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
... of boundary value problems for fractional difference equa- tions which show an operation of the investigative ...with nonlocal conditions which are both extensive and more ... See full document
14
Existence results for fractional q difference equations with nonlocal q integral boundary conditions
... on q-difference equations appeared already at the beginning of the twentieth cen- tury in intensive works especially by Jackson [], Carmichael [] and other authors such as Poincare, Picard, ...date, ... See full document
15
A coupled system of fractional q integro difference equations with nonlocal fractional q integral boundary conditions
... In this paper, we investigate the existence and the uniqueness of solutions for coupled and uncoupled systems of fractional q-integro-difference equations with nonlocal fractional ... See full document
21
Fractional Differential Equations and Inclusions with Nonlocal Generalized Riemann-Liouville Integral Boundary Conditions
... and boundary value problems of fractional differential equations involving a variety of conditions have been investigated by several researchers, and the literature on the topic ... See full document
17
On a class of sequential fractional q integrodifference boundary value problems involving different numbers of q in derivatives and integrals
... on q-difference equations have became inter- esting subject of research work [–] in the areas of mathematics and applications such as the applications to orthogonal polynomials and mathematical control ... See full document
16
Existence results for nonlocal boundary value problems of fractional differential equations and inclusions with strip conditions
... a boundary value problem of nonlinear fractional differential equations and inclusions of order q Î (1, 2] with nonlocal strip ...following boundary value problem ... See full document
21
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
16
Fractional q difference hybrid equations and inclusions with Dirichlet boundary conditions
... Fractional calculus has evolved into an interesting and popular field of research due to its theoretical development and extensive applications in the mathematical modeling of many real world phenomena occurring in ... See full document
14
On nonlocal fractional q-integral boundary value problems of fractional q-difference and fractional q-integrodifference equations involving different numbers of order and q
... of nonlocal three-point fractional q-integral boundary value problems of a nonlinear fractional q-difference equation and a nonlinear fractional ... See full document
19
Nonlinear sequential fractional differential equations with nonlocal boundary conditions involving lower order fractional derivatives
... of boundary value problems of sequential fractional differential equations of order q ∈ (2, 3] supplemented with nonlocal non-separated boundary conditions ... See full document
16
Nonlocal boundary value problems of fractional order at resonance with integral conditions
... where α , β are real numbers with 2 < α ≤ 3, 0 < β ≤ 1, D α 0+ and I α 0+ respectively denote Riemann-Liouville derivative and integral of order α , f : [0, 1] × R 3 → R satisfies the Carathéodory conditions, ... See full document
12
Nonlinear fractional differential equations with nonlocal fractional integro-differential boundary conditions
... We study the existence of solutions for a class of nonlinear Caputo-type fractional boundary value problems with nonlocal fractional integro-differential boundary ... See full document
10
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