Results 21 to 30 of about 14,741 (209)
Advances in Difference Equations, 2021 This paper is concerned with the existence and uniqueness of solutions for a coupled system of Liouville–Caputo type fractional integro-differential equations with multi-point and sub-strip boundary conditions.
Ahmed Alsaedi +3 more
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A Rigorous Analysis of Integro-Differential Operators with Non-Singular Kernels
Fractal and Fractional, 2023 Integro-differential operators with non-singular kernels have been much discussed among fractional calculus researchers. We present a mathematical study to clearly establish the rigorous foundations of this topic.
Arran Fernandez, Mohammed Al-Refai
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Regularity estimates for fractional orthotropic p-Laplacians of mixed order
Advances in Nonlinear Analysis, 2022 We study robust regularity estimates for a class of nonlinear integro-differential operators with anisotropic and singular kernels. In this paper, we prove a Sobolev-type inequality, a weak Harnack inequality, and a local Hölder estimate.
Chaker Jamil, Kim Minhyun
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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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Existence results of Atangana-Baleanu fractional integro-differential inclusions of Sobolev type
Alexandria Engineering Journal, 2023 In this article, we scrutinise the study of the existence of Sobolev type Atangana-Baleanu fractional integro-differential inclusions in Banach space. The results are gained by using Martelli’s fixed point theorem and ρ-resolvent operators. An example is
V. Vijayaraj +3 more
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Abstract and Applied Analysis, 2010 A class of second-order nonlinear impulsive integro-differential equations of mixed type whose principal part is given by time-varying generating operators in fractional power spaces is considered. We introduce the reasonable PC-α-mild solution of second-
Y. Peng
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Existence of solutions for a class of nonlinear Volterra integro-dynamic equations on time scales [PDF]
Arab Journal of Mathematical SciencesPurposeThis paper encompasses recent developments on a class of nonlinear Volterra integro-dynamic equations on arbitrary time scales. More precisely, we provide some conditions under which the considered equations have at least one, at least two and at ...
Svetlin Georgiev, Youssef N. Raffoul
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Axioms, 2022 Multidimensional integro-differential equations are obtained when the unknown function of several independent variable and/or its derivatives appear under an integral sign. When the differentiation or integration operators or both are of fractional order,
Mondher Damak, Zaid Amer Mohammed
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Solvability of Some Types for Multi-fractional Integro-Partial Differential Equation
مجلة بغداد للعلوم, 2021 In this article, the solvability of some proposal types of the multi-fractional integro-partial differential system has been discussed in details by using the concept of abstract Cauchy problem and certain semigroup operators and some necessary and ...
Ali Kadhim Jabbar, Sameer Qasim Hasan
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Function bounds for solutions of Volterra integro dynamic equations on time scales
Electronic Journal of Qualitative Theory of Differential Equations, 2010 Introducing shift operators on time scales we construct the integro-dynamic equation corresponding to the convolution type Volterra differential and difference equations in particular cases $\mathbb{T}=\mathbb{R}$ and $\mathbb{T}=\mathbb{Z}$.
Murat Adıvar
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