Results 41 to 50 of about 247,781 (292)
, 2020 In this paper, we discuss fixed point theorems for a new χ -set contraction condition in partially ordered Banach spaces, whose positive cone K $\mathbb{K}$ is normal, and then proceed to prove some coupled fixed point theorems in partially ordered ...
H. Nashine +3 more
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Mild and classical solutions to a fractional singular second order evolution problem
Electronic Journal of Qualitative Theory of Differential Equations, 2012 Existence and uniqueness of mild and classical solutions are discussed for an abstract second-order evolution problem. The nonlinearity contains a local term and a non-local term.
Nasser-Eddine Tatar
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On generalized some integral inequalities for local fractional integrals
Applied Mathematics and Computation, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sarıkaya, Mehmet Zeki +2 more
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Boletim da Sociedade Paranaense de Matemática, 2021 In this work, we are concerened with the fractional differential equation \begin{displaymath}D^{\alpha}_{0^+} u(t)+f(t,u(s))=0,\quad ...
A. Ahmadkhanlu
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The approximate solutions of Fredholm integral equations on Cantor sets within local fractional operators [PDF]
Sahand Communications in Mathematical Analysis, 2016 In this paper, we apply the local fractional Adomian decomposition and variational iteration methods to obtain the analytic approximate solutions of Fredholm integral equations of the second kind within local fractional derivative operators.
Hassan Kamil Jassim
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Image Denoising of Adaptive Fractional Operator Based on Atangana–Baleanu Derivatives
Journal of Mathematics, 2021 A fractional integral operator can preserve an image edge and texture details as a denoising filter. Recently, a newly defined fractional-order integral, Atangana–Baleanu derivatives (ABC), has been used successfully in image denoising.
Xiaoran Lin +3 more
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Local Truncation Error of Low-Order Fractional Variational Integrators [PDF]
, 2019 We study the local truncation error of the so-called fractional variational integrators, recently developed in [1, 2] based on previous work by Riewe and Cresson [3, 4]. These integrators are obtained through two main elements: the enlarging of the usual mechanical Lagrangian state space by the introduction of the fractional derivatives of the ...
Jiménez, F, Ober-Blöbaum, S
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Journal of Inequalities and Applications, 2022 In this paper, we present a generalized Jensen-type inequality for generalized harmonically convex function on the fractal sets, and a generalized Jensen–Mercer inequality involving local fractional integrals is obtained.
Saad Ihsan Butt +3 more
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University of Thi-Qar journal, 2019 In this paper, we use the Yang-Laplace transform on Volterra integro-differential equations of the second kind within the local fractional integral operators to obtain the nondifferentiable approximate solutions. The iteration procedure is based on local
H. Jassim, Hussein Khashan Kadhim
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The analytical solutions for Volterra integro-differential equations within Local fractional operators by Yang-Laplace transform [PDF]
Sahand Communications in Mathematical Analysis, 2017 In this paper, we apply the local fractional Laplace transform method (or Yang-Laplace transform) on Volterra integro-differential equations of the second kind within the local fractional integral operators to obtain the analytical approximate solutions.
Hassan Kamil Jassim
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