[PDF] Top 20 Forced oscillation for solutions of boundary value problems of fractional partial difference equations

... the oscillation theory as a part of the qualitative theory of fractional dif- ferential equations and fractional difference equations has been ...the oscillation of ... See full document

... where ν ≥ , N ∈ N so that N –  < ν ≤ N ,  ≤ μ < ν, M ∈ N so that M –  < ν ≤ M, f : {, , . . . , T +M}× R → R is continuous and nonnegative for x ≥ , and g : C([ν –N, . . . , T + M + ν], R) is a given ... See full document

... the boundary value problem of a fractional q-difference equation with nonlocal conditions involving the fractional q-derivative of the Caputo type, and the nonlinear term contains a ... See full document

... the boundary value problem of a class of nonlinear fractional q-difference equations involving the Riemann–Liouville fractional q-derivative on the ...of solutions are ... See full document

... on boundary value problems of conforma- ble fractional differential equations under new definitions [1] [2] ...formable fractional derivatives not only have good operational ... See full document

... the fractional q-difference calculus. Later, the theory of fractional q-difference calculus itself and nonlinear fractional q-difference equation boundary value problems have been ... See full document

... Initial value problems in discrete fractional ...of fractional nabla difference ...of solutions for nonlinear fractional difference equations with initial ... 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

... Riemann-Liouville fractional q-integral and q-difference on an interval [a, b] were given, and their basic properties were ...initial value problems for impul- sive fractional q-difference ... See full document

... 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

... of fractional differential equations has become an important aspect of differential equations; see ...[1–8]. Fractional differential equations can describe many phenomena in various fields ... See full document

... of equations with p-Laplacian differential ...Monge-Kantorovich partial differential equations [], population bi- ology [], nonlinear flow laws [], combustion theory ...of solutions for the ... See full document

... differential equations have been recently used as effective tools in study the modelling of many real ...flow problems, control theory, aerodynamics, nonlinear oscillation of earthquake, the ... See full document

... PW: Fractional q-calculus on a time ...Initial value problems in discrete fractional ...Two-point boundary value problems for finite fractional difference ... See full document

... using cone theory, they then deduced the existence of one or more positive solutions. Of particular interest with regard to the present paper is the recent work by Benchohra et al. []. In that paper, the authors ... See full document

... positive solutions are obtained by Krasnosel’skii fixed point ...three-point fractional sum boundary value problem for Caputo fractional difference equations via an argument with a ... See full document

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

... Boundary value problems with integral boundary conditions for ordinary differential equations represent a very interesting and important class of ...multi-point boundary ... See full document

... both fractional calculus and fractional difference ...for fractional delta-operators and the commutativity of fractional ...discrete fractional calculus (for more details, we refer the ... See full document

... sequential fractional differential ...the fractional derivatives that rep- resents an interesting complication that does not arise in the integer- order ...two fractional derivatives, which gives ... See full document