Results 11 to 20 of about 813 (186)

Fundamental Results about the Fractional Integro-Differential Equation Described with Caputo Derivative

Journal of Function Spaces, 2022
In this paper, we study the existence and uniqueness of the mild solution of the fractional integro-differential with the nonlocal initial condition described by the Caputo fractional operator.
Ndolane Sene
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Three-dimensional integro-multipoint boundary value problem for loaded Volterra-hyperbolic integro-differential equations of Bianchi type

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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Bounded and multiperiodic solutions of the system of partial integro-differential equations

Қарағанды университетінің хабаршысы. Математика сериясы, 2019
The system of partial integro - differential equations with an operator of differentiation with respect to directions of vector field is considered. The considering integro - differential equation does not contain space variables.
G.M. Aitenova, Zh.A. Sartabanov, G.A. Abdikalikova , A. Kerimbekov   +3 more
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On a Nonlocal Problem for Mixed-Type Equation with Partial Riemann-Liouville Fractional Derivative

Fractal and Fractional, 2022
The present paper presents a study on a problem with a fractional integro-differentiation operator in the boundary condition for an equation with a partial Riemann-Liouville fractional derivative. The unique solvability of the problem is proved.
Menglibay Ruziev, Rakhimjon Zunnunov
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Neumann homogenization via integro-differential operators

Discrete and Continuous Dynamical Systems, 2016
Fixed some typos and added some discussion / commentary.
Guillen, Nestor, Schwab, Russell W.
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Best proximity point results and application to a system of integro-differential equations

Advances in Difference Equations, 2021
In this work, we solve the system of integro-differential equations (in terms of Caputo–Fabrizio calculus) using the concepts of the best proximity pair (point) and measure of noncompactness.
Anupam Das, Hemant Kumar Nashine, Rabha W. Ibrahim, Manuel De la Sen   +3 more
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Some Results in the Theory of Fractional Order Integro-Differential Equation with Boundary Conditions [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics, 2010
This paper deals with the existence and uniqueness of the solution for a boundary value problem of fractional order integro-differential equation, when  using Banach fixed point theorem and Shafer’s fixed point theorem.
Azzam Younes
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On integro‐differential inclusions with operator‐valued kernels [PDF]

Mathematical Methods in the Applied Sciences, 2014
AbstractWe study integro‐differential inclusions in Hilbert spaces with operator‐valued kernels and give sufficient conditions for the well‐posedness. We show that several types of integro‐differential equations and inclusions are covered by the class of evolutionary inclusions, and we therefore give criteria for the well‐posedness within this ...
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Inverse Nodal Problems for Dirac-Type Integro-Differential System with Boundary Conditions Polynomially Dependent on the Spectral Parameter

Cumhuriyet Science Journal, 2019
In this work, we study the inverse nodal problemfor Dirac type integro-differential operator with the boundary conditionsdependent spectral parameter polynomially.
Baki Keskin, Hediye Dilara Tel
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On the Operator Method for Solving Linear Integro-Differential Equations with Fractional Conformable Derivatives

Fractal and Fractional, 2021
The methods for constructing solutions to integro-differential equations of the Volterra type are considered. The equations are related to fractional conformable derivatives.
Batirkhan Kh. Turmetov, Kairat I. Usmanov, Kulzina Zh. Nazarova   +2 more
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