integro-differential equations with the operators.
Existence results for hybrid fractional integro-differential equations
... In this paper we study existence results for initial value problems for hybrid fractional integro-differential equations. A couple of hybrid fixed point theorems for the sum of three operators are used ...
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Existence of mild solution for a class of coupled systems of neutral fractional integro differential equations with infinite delay in Banach space
... ential equations is gaining much importance and ...of equations usually contain the fractional derivatives of time delay and the abstract ...fractional equations with time ...differential ...
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Differential inequalities and comparison theorems for first order hybrid integro-differential equations
... Proof. Now, the HIDE (1.1) is equivalent to hybrid integral equation (3.4) defined on J . Let E = C(J, R ). Define three operators A and B on [a, b] by (3.5) and (3.6) respectively. Then the integral equation ...
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Solution Of Integro-Differential Equation Of The Second Order With The Operators
... of integro-differential equations of the second order with the operators by using both method Picard approximation and Banach fixed point theorem which are given in [ 5 ] and [ 7 ] ...
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EXISTENCE AND UNIQUENESS THEOREMS FOR FRACTIONAL VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS
... As tools of mathematical analysis, the definitions of fractional derivative and fractional integration are provided by several different approaches. The most frequently used definitions of the operators of ...
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Covariance Operators and the Central Limit Theory for "Loop" Markov Chains
... The aim of this paper is to introduce new method for solving a system of linear fractional Integro-differential equations of Volterra (LFIDEV) numerically presented based on B-spline techniques. ...
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Existence, Uniqueness of solutions for Set Differential Equations Involving Causal Operators with Memory
... set differential equa- tions involving causal operators with ...set differential equations (SDE’s), SDE’s with delay and set integro differential equations which in turn ...
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On existence results for impulsive fractional neutral stochastic integro differential equations with nonlocal and state dependent delay conditions
... linear operators is precisely relevant to dealing with differential and integro-differential equations in Banach ...differential equations in Banach ...differential equations (FDEs) have ...
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Nonlinear fractional differential equations with nonlocal fractional integro-differential boundary conditions
... Theorem . (Krasnoselskii’s fixed point theorem) Let M be a closed, bounded, convex, and nonempty subset of a Banach space X. Let A, B be the operators such that (i) Ax + By ∈ M whenever x, y ∈ M; (ii) A is ...
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Existence of integro differential solutions for a class of abstract partial impulsive differential equations
... are given functions that satisfy suitable conditions. Using the theory of fractional powers and priori estimates for compact operators, the authors established some exis- tence result for the problem (1.4). ...
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Inverse spectral problems for first order integro-differential operators
... recovering operators from their spectral ...evolution equations in mathematical ...differential operators [–] and other classes of differential ...For integro-differential and other classes of ...
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On the homogenization of partial integro-differential-algebraic equations
... that the homogenized material law contains fractional derivatives with respect to time or explicit delay terms: Indeed, these operators cannot be represented as material laws, which are analytic in 0, see e.g. ...
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Hybrid method for solving nonlinear Volterra-Fredholm integro differential equations
... Applying the inverse Laplace transform to the first part of Eq.(18) gives y 0 (x), that will define A 0 (x) and B 0 (x). Using A 0 (x) and B 0 (x) will enable us to evaluate y 1 (x). The determination of y 0 (x) and y 1 ...
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Variational iterative method: an appropriate numerical scheme for solving system of linear Volterra fuzzy integro differential equations
... fuzzy integro-differential equations, our solutions of the variational iteration method and the demonstration are given in ...fuzzy integro-differential system is ...
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About reducing integro differential equations with infinite limits of integration to systems of ordinary differential equations
... []. The first known results on estimates of distance between two adjacent zeros of os- cillating solutions to a linearization of equation (.) and results connecting oscillation behavior and the exponential stability ...
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Application of fractional-order Bernoulli functions for solving fractional Riccati differential equation
... fractional differential equa- tions, fractional integro-differential equations, fractional partial differential equations and dynamic systems containing fractional derivatives, ...
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Linear and nonlinear convolution elliptic equations
... 26. Hytönen, T, Weis, L: Singular convolution integrals with operator-valued kernels. Math. Z. 255, 393-425 (2007) 27. Shakhmurov, VB, Shahmurov, R: Sectorial operators with convolution term. Math. Inequal. Appl. ...
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Extension of the differential transformation method to nonlinear differential and integro differential equations with proportional delays
... In this paper, the differential transformation method is applied by providing new theorems to develop exact and approximate solutions of nonlinear differential and integro-differential equations with ...
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Solutions of Different Types of the Linear and Nonlinear Higher-Order Boundary Value Problems by Differential Transformation Method
... [12] V.S. Ertürk, S. Momani, Comparing numerical methods for solving fourth-order bound- ary value problems, Appllied Mathematics and Computation, 188,2, (2007) 1963-1968. [13] I. H. Abdel-Halim Hassan, Different ...
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Existence and uniqueness of solutions for a class of nonlinear integro differential equations on unbounded domains in Banach spaces
... an important role in the proof of the main results. Undoubtedly, it is interesting and im- portant to remove these conditions, which is very helpful for the applications of IVPs (1.2) and (3.3). In this paper, the ...
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