nonlinear integro-differential equations
Laplace Discrete Adomian Decomposition Method for Solving Nonlinear Integro Differential Equations
... from differential equations, partial differential equations, integral equations and integro-differential equations among ...of nonlinear ...
20
Numerical Solution of Nonlinear Integro Differential Equations with Initial Conditions by Bernstein Operational Matrix of Derivative
... to nonlinear Volterra- Fredholm integro-differential ...these equations can also appear when transforming a differen- tial equation into an integral equation ...of equations, the ...
9
Solution of Nonlinear Integro Differential Equations by Two Step Adomian Decomposition Method (TSAM)
... for nonlinear partial differen- tial equation and in 2013, ...the nonlinear Abel’s Integral ...the integro-differential equations and the system of integro differential ...
8
Existence and uniqueness of solutions for a class of nonlinear integro differential equations on unbounded domains in Banach spaces
... where k ∈ C[D, R], D = {(t, s) ∈ I × I : t ≥ s}. By using an iteration method, the existence and uniqueness results for second order integro-differential equations (1.1) are obtained without demanding the ...
7
A numerical technique based on operational matrices for solving nonlinear integro-differential equations
... Integro-differential equations frequently appear in all fields of sciences such as physics, chemistry and engineering problems [11, 20, 23, ...fractional differential equations have ...
16
Nonlinear Coupled Fractional Order Systems with Integro-Multistrip-Multipoint Boundary Conditions
... fractional differential equations has evolved as an important and significant area of investigation in view of its numerous applications in viscoelasticity, electroanalytical chemistry, and many physical ...
18
Solving high order nonlinear Volterra Fredholm integro differential equations by differential transform method
... the differential transfor- mation method to high-order nonlinear Volterra- Fredholm integro-differential equations with se- parable ...the differential trans- formation method is ...
7
EXISTENCE AND UNIQUENESS THEOREMS FOR FRACTIONAL VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS
... [7] A. Hamoud, K. Ghadle, The combined modified Laplace with Adomian decomposition method for solving the nonlinear Volterra-Fredholm integro- differential equations, J. Korean Soc. Ind. Appl. ...
16
Fractional type of flatlet oblique multiwavelet for solving fractional differential and integro-differential equations
... next collocate it in N evenly spaced nodes in [0, 1]. Hence we reach to a system with N linear and N nonlinear equations. By using the Newton iteration method, we can solve this system and obtain the ...
15
Existence and uniqueness of solutions for multi term nonlinear fractional integro differential equations
... with boundary values u() = u () = or u () = u() = or u() = u() = , where < α ≤ , < β ≤ , and f is continuous on [, ] × R × R []. In , Su and Zhang studied the existence and uniqueness of ...
17
Dissipativity of Runge Kutta methods for a class of nonlinear functional integro differential equations
... This paper is concerned with the dissipativity of Runge-Kutta methods for a class of nonlinear functional-integro-differential equations (FIDEs). The dissipativity results of Runge-Kutta methods for ...
14
A shooting method for singular nonlinear second order Volterra integro differential equations
... 6 1969, 365-374 [8] NA, T.Y., Computanonal Methods in Engineering Boundary Value Problems, Academic Press, New York 1979 [9] SHAW, R.E and GAREY, L.E., Monotonic approximations for nonli[r] ...
10
A new comparison principle and its application to nonlinear impulsive functional integro differential equations
... differential equations, arising in the mathematical modeling of complex sys- tems and processes, have drawn more and more attention of the research community due to their numerous applications in various fields of ...
13
Existence of integro differential solutions for a class of abstract partial impulsive differential equations
... the nonlinear equation, and in applications, these assumptions make all differences, because, even in infinite dimensional Hilbert space it is not straightforward handedly with compact ...
19
Some New Uniqueness Results of Solutions to Nonlinear Fractional Integro-Differential Equations
... for nonlinear fractional integro-differential with respect to the Caputo fractional operator, highlighting the method which has been used by Momani et ...
8
14. On the stability and instability of functional Volterra integro-differential equations of first order
... Via Lyapunov functionals and basic inequalities, sufficient conditions are given for the exponential stability (ES) and instability (I) of the trivial solution of the former (VIDE). We introduce two new results for the ...
10
Existence and uniqueness of the global solution for a class of nonlinear fractional integro differential equations in a Banach space
... differential equations with finite domain have been extensively ...differential equations with finite domain, for instance, can be found in papers [17–38] and the references cited ...
10
Extension of the differential transformation method to nonlinear differential and integro differential equations with proportional delays
... solving nonlinear differential and integro-differential equations with proportional ...and integro-differential equations without requir- ing linearization, discretization or ...
12
Stability of highly nonlinear hybrid stochastic integro-differential delay equations
... delay equations (SD- DEs) have been studied ...delay equations where their coe ffi cients are either linear or nonlinear but bounded by linear ...highly nonlinear hybrid stochastic di ff ...
27
On boundary value problems of higher order abstract fractional integro-differential equations
... In this paper, we have discussed the achievement of sufficient conditions for the existence of solutions of fractional BVP (1.1) which is more general than problems in literatures review [1, 3, 20], by applying ...
20