Results 1 to 10 of about 485,712 (256)
On the Nonlinear Integro-Differential Equations
Fractal and Fractional, 2021 The goal of this paper is to study the uniqueness of solutions of several nonlinear Liouville–Caputo integro-differential equations with variable coefficients and initial conditions, as well as an associated coupled system in Banach spaces. The results derived are new and based on Banach’s contractive principle, the multivariate Mittag–Leffler function
Chenkuan Li, Joshua Beaudin
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Algorithms, 2021 The aim of this article is to present a procedure for the factorization and exact solution of boundary value problems for a class of n-th order linear Fredholm integro-differential equations with multipoint and integral boundary conditions.
Efthimios Providas +1 more
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Solving system of integro differential equations using discrete adomian decomposition method
Journal of Taibah University for Science, 2019 In this paper, we propose a new numerical method for solving system of integro-differential equations featuring Volterra and Fredholm integrals. The proposed method depends on the successful application of the Discrete Adomian Decomposition Method (DADM)
H. O. Bakodah +2 more
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On the perturbation of Volterra integro-differential equations
Applied Mathematics Letters, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jung, Soon-Mo +2 more
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A novel fractional structure of a multi-order quantum multi-integro-differential problem
Advances in Difference Equations, 2020 In the present research manuscript, we formulate a new generalized structure of the nonlinear Caputo fractional quantum multi-integro-differential equation in which such a multi-order structure of quantum integrals is considered for the first time.
Nguyen Duc Phuong +3 more
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Fractal and FractionalThe main aim of this study is to examine the Hyers–Ulam stability of fractional derivatives in Volterra–Fredholm integro-differential equations using Caputo fractional derivatives.
Govindaswamy Gokulvijay +2 more
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On a Simple Type of Integro-differential Equation [PDF]
Proceedings of the Edinburgh Mathematical Society, 1935 In a previous paper in these Proceedings the author discussed conditions for a maximum or minimum of functions of integrals of the typeusing the methods of the Calculus of Variations. In the effort to establish a third necessary condition for a minimum—the analogue of Jacobi's condition in the ordinary variational problem—it was found that the analogue
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CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION WITH NONLOCAL CONDITIONS IN BANACH SPACE
International Journal of Apllied Mathematics, 2019 The aim of the present paper is to prove the existence of solutions of the initial value problem for a nonlinear integro-differential equation of fractional order α ∈ (0, 1) with nonlocal conditions in Banach spaces.
Mohammed S Abdo +2 more
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On integro-differential equations in Banach spaces [PDF]
Pacific Journal of Mathematics, 1967 INTEGRO-DIFFERENTIAL EQUATIONS 101 2* Existence and uniqueness of a strong solution of the homogeneous problem (I)* Let A be a closed linear operator on a Banach space X to itself with domain &(A) dense in 36 and let @(3£) be the Banach algebra of all bounded linear transformations on X to itself.
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 In this paper the combined three-dimensional non-local boundary value problem with integro-multipoint conditions for loaded volterra-hyperbolic integro-differential equation of Bianchi type is explored.
Ilgar G Mamedov
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