[PDF] Top 20 Existence Results for Some Nonlinear Functional-Integral Equations in Banach Algebra with Applications

... of nonlinear analysis, which act as principal role for the solvability of linear and nonlinear integral ...such integral equations is developed effectively and emerge in the fields of ... See full document

... Differential equations of fractional order have recently proved to be valuable tools in the modeling of many phenomena in various fields of science and ...numerous applications in viscoelasticity, ... See full document

... differential equations. However, there are relatively scarce results dealing with the boundary value problems of fractional functional differential equations with time de- ...the ... See full document

... and Applications of Fractional Differential Equations, ...and Applications in Physics and Engineering, Springer, Dordrecht, The Netherlands, ... See full document

... Recently, some authors considered fractional DEs with p-Laplacian operator for the ex- istence and stability ...highlight some related contributions of the ...a nonlinear system of fractional order ... See full document

... of nonlinear random equations for proving the existence theorems [6, 7, 8, 14 and ...interesting results and a lot of activity in this area has ...the existence and attractivity ... See full document

... above results. In the first example, we will try to prove the global existence of the solu- tions of a delay differential equation, while in the second example, we will obtain the bound of the solutions of ... See full document

... 8 B. Ahmad and V. Otero-Espinar, “Existence of solutions for fractional differential inclusions with anti- periodic boundary conditions,” Boundary Value Problems, vol. 2009, Article ID 625347, 11 pages, 2009. 9 A. ... See full document

... of nonlinear fractional differential equations nowadays is a large subject of mathematics, which found numerous applications of many branches such as physics, en- gineering, and other fields connected ... See full document

... The Banach contraction principle [] is one of the earliest and most important results in fixed point ...in nonlinear analysis; see, ...the existence of a coin- cidence point of a mapping and a ... See full document

... [, +∞) are continuous functions, in the general case, unbounded, and q : [, +∞) → R, f : [, +∞) × R → R are continuous functions. Note that, since the deviations are un- bounded, we cannot apply the well-known fixed ... See full document

... differential equations has been subjected to an intensive devel- opment of the theory and the applications (see, for example, [–] and the references ...differential equations on terms of special ... See full document

... these equations are possible. Some of the applications are unsteady aerodynamics and aero elastic phenomena, visco elasticity, visco elastic panel in super sonic gas flow, fluid dynamics, ... See full document

... previous results of [17, 18, 21, 5, 16] and applying Petryshyn’s fixed point theorem (Theorem ...the existence of solutions for some nonlinear functional-integral ...of ... See full document

... of nonlinear fractional differential equations with impulsive and fractional integral boundary ...theorems, some existence and uniqueness results are ...As applications, ... See full document

... introduce some preliminaries and use them to obtain our main results in Section ...provide some examples and special cases that verify our ...further existence results has been ... See full document

... of nonlinear functional anal- ...and integral equations, functional analysis, oper- ator theory, topology and algebraic topology ...important nonlinear problems of applied ... See full document

... and integral inequalities occupy a very privileged position in the theory of differential and integral ...years nonlinear integral inequalities have received considerable attention because of ... See full document

... Theorem 3.4. Let S be a commutative foundation semigroup with identity and with a Borel measurable weight function w continuous at the identity. Let H be a Hilbert module over a proper H * -algebra A. Then a ... See full document

... Remark 3.7. Theorem 3.6 generalizes Theorem 1 of Bellman 1, page 119, Theorem 3.5 of Bhakta and Choudhury 6, Theorem 2.4 of Bhakta and Mitra 7, Theorem 3.5 of Liu 8 and Theorem 3.1 of Liu and Ume 11. The following ... See full document