[PDF] Top 20 Solutions of fractional difference equations using S-transforms
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Solutions of fractional difference equations using S-transforms
... integral transforms that are widely used in physics, astronomy, as well as ...differential equations, the integral transforms were extensively used and thus there are several works on the theory and ... See full document
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Positive solutions for boundary value problems of fractional difference equations depending on parameters
... The paper is organized as follows. In Section , we present basic definitions and demon- strate some lemmas in order to prove our main results. In Section , we establish some results for the existence of at least two ... See full document
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The existence of solutions to a class of boundary value problems with fractional difference equations
... years, fractional differential equations have been of great ...of fractional calculus itself and by the ap- plications of such constructions in various sciences such as physics, mechanics, chemistry ... See full document
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Existence of solutions for fractional difference equations via topological degree methods
... 18. Gray, H.L., Zhang, N.F.: On a new definition of the fractional difference. Math. Comput. 50(182), 513–529 (1988) 19. Atici, F.M., Eloe, P.W.: A transform method in discrete fractional calculus. Int. J. ... See full document
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Existence of positive solutions for a system of Caputo fractional difference equations depending on parameters
... discrete fractional calculus. CUBO 13(3), 153-184 (2011) 3. Atici, FM, Sengül, S: Modeling with fractional difference ...D: Fractional differences and integration by ... See full document
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Positive solutions for fractional difference equations using fixed point theorem
... for t ∈ {a + µ , a + µ + 1, . . .} := N a+µ . Also define the µ th fractional difference for µ > 0 by ∆ µ f (t) := ∆ N ∆ µ−N f (t), where t ∈ N a+µ and µ ∈ N is chosen so that o ≤ N − 1 < µ ≤ N. Lemma ... See full document
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Existence and attractivity of solutions for fractional difference equations
... In this paper, we study a kind of difference equations with Riemann–Liouville-like fractional difference. The results on existence and attractivity are obtained by using the Picard iteration method and ... See full document
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Oscillatory behavior of solutions of certain fractional difference equations
... various equations like ordinary and partial differen- tial equations [3–6], difference equations [7–9], dynamic equations on time scales [10–14], and fractional differential (difference) ... See full document
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Construction of fractional power series solutions to fractional stiff system using residual functions algorithm
... of fractional order often appear during the modeling of many issues in the major scientific disciplines, leading us to a deeper understanding, quantification ca- pability, and simulation of a particular feature of ... See full document
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Existence of solutions for impulsive fractional evolution equations with periodic boundary condition
... mild solutions for a class of fractional impulsive evolution equation with periodic boundary condition and noncompact ...By using some fixed point theorems, the existence theorems of mild ... See full document
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Existence solutions for boundary value problem of nonlinear fractional q difference equations
... Step : The implication (.) holds. Now let V be a subset of D such that V ⊂ conv(A(V) ∪ { } ). Clearly, V (t) ⊂ conv(A(V ) ∪ { } ) for all t ∈ J. Hence, AV(t) ⊂ AD(t), t ∈ J, is bounded in E. Using this ... See full document
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Numerical solutions of fractional wave equations using an efficient class of FDM based on the Hermite formula
... the fractional wave equations by using an efficient class of finite difference ...the fractional derivative, arbitrary weight factor, and arbitrary order of the fractional derivative, are ... See full document
10
New approximate solutions to fractional nonlinear systems of partial differential equations using the FNDM
... The rest of this paper is organized as follows: In Section , we give some preliminaries and definitions of fractional calculus. In Sections and , the natural transform method is introduced. Section is devoted ... See full document
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Solutions to Riemann–Liouville fractional integrodifferential equations via fractional resolvents
... the solutions to fractional differential equations with Riemann–Liouville fractional derivative [18, ...of solutions to a semilinear differen- tial system when A generates a C 0 ... See full document
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Existence of solutions for the delayed nonlinear fractional functional differential equations with three point integral boundary value conditions
... To the best of our knowledge, it seems that no one considered BVP (.)-(.). There- fore, we will investigate the existence and uniqueness of solutions of the nonlinear BVP (.)-(.) under some further ... See full document
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Existence of solutions for a class of nonlinear higher order fractional differential equation with fractional nonlocal boundary condition
... of fractional equations has emerged as a new branch in the fields of differential equations for their deep ...of fractional calculus frequently appears in various fields such as physics, ... See full document
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Existence of positive solutions for two point boundary value problems of nonlinear fractional q difference equation
... where 2 < α ≤ 3, f : [0, 1] × [0, + ∞ ) × R → [0, + ∞ ) is continuous. In Sect. 2, we will give some necessary definitions of fractional q-calculus and deduce the new properties of the Green function. In Sect. ... See full document
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Anti-periodic boundary value problems involving nonlinear fractional q-difference equations
... nonlinear fractional q-difference equations have aroused considerable ...of solutions or positive solutions for boundary value problems of nonlinear fractional ... See full document
8
Positive solutions for singular coupled integral boundary value problems of nonlinear higher order fractional q difference equations
... positive solutions for systems of nonlinear fractional q-difference ...positive solutions for the following singular fractional q- difference ... See full document
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Existence and uniqueness of solutions for stochastic differential equations of fractional order \(q > 1\) with finite delays
... hand, fractional calculus can effectively characterize the hereditary proper- ties of various materials and processes to be widely studied [, ...(impulsive) fractional differential equations in ... See full document
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