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[PDF] Top 20 Existence and uniqueness of solutions for a class of nonlinear integro differential equations on unbounded domains in Banach spaces

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Existence and uniqueness of solutions for a class of nonlinear integro differential equations on unbounded domains in Banach spaces

Existence and uniqueness of solutions for a class of nonlinear integro differential equations on unbounded domains in Banach spaces

... Let (E, · ) be a real Banach space and P be a cone in E which defines a partial ordering in E by x ≤ y if and only if y – x ∈ P. θ denotes the zero element in E. A cone P is said to be normal if there exists a ... See full document

7

Weighted pseudo almost periodic solutions to a class of semilinear integro differential equations in Banach spaces

Weighted pseudo almost periodic solutions to a class of semilinear integro differential equations in Banach spaces

... find existence and uniqueness of mild solutions for the corresponding semilinear problem is ...The class of operators ...This class arises in several applied fields, like viscoelas- ... See full document

18

Existence and uniqueness of the global solution for a class of nonlinear fractional integro differential equations in a Banach space

Existence and uniqueness of the global solution for a class of nonlinear fractional integro differential equations in a Banach space

... In this paper, we establish the conditions for the existence of a unique solution for problem (1.1), which is indeed an important and useful contribution to the existing literature on the topic. We emphasize that ... See full document

10

Existence and Uniqueness for the Boundary Value Problems of Nonlinear Fractional Differential Equation

Existence and Uniqueness for the Boundary Value Problems of Nonlinear Fractional Differential Equation

... the existence and uniqueness of solutions for a class of boundary value problems of nonlinear fractional order differential equations involving the Caputo fractional ... See full document

12

Existence and uniqueness of solution for class of fractional order differential equations on an unbounded domain

Existence and uniqueness of solution for class of fractional order differential equations on an unbounded domain

... The existence and uniqueness of solutions for the nonlinear fractional differential equations with initial conditions comprising standard Riemann-Liouville derivatives have been ... See full document

8

Existence of solutions to nonlinear fractional differential equations with boundary conditions on an infinite interval in Banach spaces

Existence of solutions to nonlinear fractional differential equations with boundary conditions on an infinite interval in Banach spaces

... the nonlinear Dirichlet-type boundary value problems of the fractional differential equation, and the existence results were established by using the Leray-Shauder nonlinear alternative and a fixed ... See full document

20

Existence and uniqueness of positive solutions for a class of nonlinear fractional differential equations

Existence and uniqueness of positive solutions for a class of nonlinear fractional differential equations

... Suppose that (E, · ) is a real Banach space, which is partially ordered by a cone P ⊂ E, i.e., x ≤ y if and only if y – x ∈ P. If x ≤ y and x = y, then we denote x < y or y > x. By θ we denote the zero ... See full document

19

Existence of Fractional Impulsive Functional Integro-Differential Equations in Banach Spaces

Existence of Fractional Impulsive Functional Integro-Differential Equations in Banach Spaces

... the existence of PC-mild solutions for non local fractional impulsive functional integro-differential equations with finite ...consider unbounded operator and prove the ... See full document

20

Boundary Value Problems of Nonlinear Variable Coefficient Fractional Differential Equations

Boundary Value Problems of Nonlinear Variable Coefficient Fractional Differential Equations

... the existence and uniqueness of solutions for a class of boundary value problem of the nonlinear variable coefficient of fractional differential ...The existence of ... See full document

8

An Existence Result for Nonlinear Fractional Differential Equations on Banach Spaces

An Existence Result for Nonlinear Fractional Differential Equations on Banach Spaces

... of solutions for fractional differential inclusions with anti- periodic boundary conditions,” Boundary Value Problems, ...erential equations with infinite delay in Fr´echet spaces,” Applicable ... See full document

11

Nonlinear Coupled Fractional Order Systems with Integro-Multistrip-Multipoint Boundary Conditions

Nonlinear Coupled Fractional Order Systems with Integro-Multistrip-Multipoint Boundary Conditions

... the existence and uniqueness of solutions for a nonlinear system of coupled fractional differential equations equipped with nonlocal coupled integro-multistrip-multipoint ... See full document

18

Existence of two positive solutions for a class of third-order impulsive singular integro-differential equations on the half-line in Banach spaces

Existence of two positive solutions for a class of third-order impulsive singular integro-differential equations on the half-line in Banach spaces

... the existence of two positive solutions for an infinite boundary value problem of third-order impulsive singular integro-differential equations on the half-line in Banach spaces by ... See full document

31

Existence and uniqueness of solutions for multi term nonlinear fractional integro differential equations

Existence and uniqueness of solutions for multi term nonlinear fractional integro differential equations

... the Caputo fractional derivative, a, b ∈ (, ), f : [, ] × X × X × X → X is continuous and for the mappings γ , λ : [, ]× [, ] → [, ∞) with the property sup t∈[,] |  t λ(t, s) ds| < ∞ and sup t∈[,] |  t ... See full document

17

Some New Uniqueness Results of Solutions to Nonlinear Fractional Integro-Differential Equations

Some New Uniqueness Results of Solutions to Nonlinear Fractional Integro-Differential Equations

... the existence and uniqueness of solutions of quasilinear and semilinear of integro-differential equations with fractional order in Banach space by means of Banach ... See full document

8

Almost Periodic Solutions for Impulsive Fractional Stochastic Evolution Equations

Almost Periodic Solutions for Impulsive Fractional Stochastic Evolution Equations

... particular, differential equations with impulsive conditions constitute an im- portant field of research due to their numerous applications in ecology, medicine biology, electrical engineering and other ... See full document

16

Existence results for multi-term time-fractional impulsive differential equations with fractional order boundary conditions

Existence results for multi-term time-fractional impulsive differential equations with fractional order boundary conditions

... the existence and uniqueness of solutions for a class of multi-term time-fractional impulsive integro-differential equations with state dependent delay subject to some ... See full document

11

Existence and Uniqueness of Solutions to Impulsive Fractional Integro Differential Equations with Nonlocal Conditions

Existence and Uniqueness of Solutions to Impulsive Fractional Integro Differential Equations with Nonlocal Conditions

... Fractional differential equations appear naturally in a num- ber of fields such as physics, engineering, biophysics, blood flow phenomena, aerodynamics, electron-analyti- cal chemistry, biology, control ... See full document

5

Existence and uniqueness of solution for a class of nonlinear fractional differential equations

Existence and uniqueness of solution for a class of nonlinear fractional differential equations

... differential equations with fractional order as models in more and more fields of science and engineering makes it necessary to study the qualita- tive theory of such equations, and we hope that our work ... See full document

11

Solution Of Integro-Differential Equation Of The Second Order With The Operators

Solution Of Integro-Differential Equation Of The Second Order With The Operators

... the existence , uniqueness and also stability solution of integro-differential equations of the second order with the operators by using both method Picard approximation and ... See full document

17

Existence of mild solution for a class of coupled systems of neutral fractional integro differential equations with infinite delay in Banach space

Existence of mild solution for a class of coupled systems of neutral fractional integro differential equations with infinite delay in Banach space

... Definition 2.5 ([39]) Let A be a closed and linear operator with the domain D(A ) de- fined in a Banach space X. Let ρ(A ) be the resolvent set of A . A is called the gen- erator of an α-resolvent family if there ... See full document

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