[PDF] Top 20 Existence the Solution for Fractional order Nonlinear Functional Integro-Differential Equation in Banach Space

... is the field of Mathematical Analysis which deals with the investigation and applications of integrals and derivatives of arbitrary ...order. The concept of fractional calculus can be ... See full document

... give the following preliminaries and hypotheses used in our subsequent ...discussion. In many cases it is advantageous to treat second order abstract differential equations directly ... See full document

... method, in broad terms, is a technique in which sequences are constructed from the unique solutions of linear differential equations, and initially based off of lower and upper solutions of ... See full document

... by the Ascoli-Arzelà theorem we obtain that A is a compact map. Due to the continuity of all the terms in ...then equation (1.1) has a positive periodic solution z satisfying K ≤ ... See full document

... assume the solution of the resulting nODE, eq.(2.7) in the form f ~  (    0 ) p where Re( p )  0 ,  0 arbitrary and substitute it into ...provide the values of p and  ... See full document

... but in C (Ω, R) only. In par- ticular, equations with the polynomial right-hand side are admitted (see the examples in Section ...25], the Courant-Friedrichs-Levy condition on ... See full document

... In the last decades the interest in fractional calculus increased ...on the one hand different problems can be considered in the framework of fractional ... See full document

... for the analysis of a nonlinear Whitham-Broer-Kaup equation dealing with propagation of shallow water waves with different dispersion ...relations. The analysis was based on a kind of ... See full document

... from the blood plasma to the living tissue of the skeletal muscle or brain among capil- lary walls are very important topics in the medical ...field. The study of chemical ... See full document

... (3.3), the coefficients of e in (3.2) can be found. Repeating the above procedure for bigger terms, we can obtain the arbitrary order power series of the solutions for ...of ... See full document

... unique solution of finite-difference equation (12), there should be no more than k  1 initial ...from the theory of finite-difference equations it is known that for a finite- difference ... See full document

... of nonlinear difference equations (including discrete Hamiltonian systems) has been widely used to study discrete models in many fields such as computer science, economics, neural networks, ecology and so ... See full document

... various fractional order systems existing. This paper deals with the modelling of fractional order systems using an old and unique model structure ...state space model. ... See full document

... models in physics used in describing the motion of viscous fluid ...describe the physics of many phenomena relating mathematics, engineering, pure and applied ...sciences. In ... See full document

... Abstract. The Dirichlet problem for an infinite weakly coupled system of semilinear differential-functional equations of elliptic type is ...shown the existence of solutions to this ... See full document

... paper, the improved Euler method is used for solving hybrid fuzzy fractional differential equations (HFFDE) of order q ∈ (0, 1) under Caputo-type fuzzy fractional ...on the ... See full document

... Abstract. In this paper, we improve some boundedness results, which have been obtained with respect to nonlinear differential equations of fifth order without delay, to a certain ... See full document

... developed the discrete models of predator prey interactions (Shakil, 2014), where the quasi- chemical approach has been use for modeling the predator prey ...have nonlinear systems of partial ... See full document

... Abstract: In this paper, a new collocation method based on the Fibonacci polynomials is introduced to solve the high-order linear Volterraintegro-differential equations under the ... See full document

... This equation arises in several physical applications: propagation of long waves in shallow water, one dimensional nonlinear lattice-waves, vibrations in a nonlinear string, and ... See full document