Results 41 to 50 of about 40,161 (298)

New Integral Inequalities with Weakly Singular Kernel for Discontinuous Functions and Their Applications to Impulsive Fractional Differential Systems

open access: yesJournal of Applied Mathematics, 2014
Some new integral inequalities with weakly singular kernel for discontinuous functions are established using the method of successive iteration and properties of Mittag-Leffler function, which can be used in the qualitative analysis of the solutions to ...
Jing Shao
doaj   +1 more source

On the functional-integral equation of Volterra type with weakly singular kernel [PDF]

open access: yesPublications de l'Institut Mathematique, 2008
We give sufficient conditions for the existence of Lp-solution of a Volterra functional-integral equation in a Banach space. Our assumptions and proofs are expressed in terms of measures of noncompactness.
openaire   +2 more sources

Approximation Solution of Fuzzy Singular Volterra Integral Equation by Non-Polynomial Spline

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2023
A non-polynomial spline (NPS) is an approximation method that relies on the triangular and polynomial parts, so the method has infinite derivatives of the triangular part of the NPS to compensate for the loss of smoothness inherited by the polynomial. In
Zahraa A. Ibrahim, Nabaa N. Hasan
doaj   +1 more source

Double Laplace Transform Method for Solving Fractional Fourth-Order Partial Integro-Differential Equations with Weakly Singular Kernel

open access: yesIndian Journal of Science and Technology
Objectives: To investigates the solutions of fourth order partial integro-differential equations with high-order non-integer derivatives and weakly singular kernels.
Ranjit R. Dhunde
semanticscholar   +1 more source

Creep‐Induced Microstructural Evolution in an A2‐B2 Superalloy

open access: yesAdvanced Engineering Materials, EarlyView.
A 27.3Ta‐27.3Mo‐27.3Ti‐8Cr‐10Al (at.%) refractory high‐entropy alloy with precipitation‐strengthened A2‐B2 microstructure was studied by creep tests at 1030°C, which demonstrate a transition in deformation mechanisms in the range of 100–150 MPa applied stress. This is associated with changes in dislocation–precipitate interactions. Relevant deformation
Liu Yang   +10 more
wiley   +1 more source

Bernoulli Polynomials Method for Solving Integral Equations with Singular Kernel

open access: yesمجلة بغداد للعلوم
There is always an interest in an effective technique to generate a numerical solution of integral equations with singular or weakly singular kernels more precisely because numerical methods have limitations.
Muna M. Mustafa, Heba A. Abd-Alrazak
doaj   +1 more source

Fractional-order Euler functions for solving fractional integro-differential equations with weakly singular kernel

open access: yesAdvances in Difference Equations, 2018
In this paper, a new set of functions called fractional-order Euler functions (FEFs) is constructed to obtain the solution of fractional integro-differential equations.
Yanxin Wang, Li Zhu, Zhi Wang
doaj   +1 more source

Extrusion‐Based Additive Manufacturing of Advanced Ceramics: Strengthening Mechanisms and Process Optimization Review

open access: yesAdvanced Engineering Materials, EarlyView.
This review comprehensively evaluates extrusion‐based additive manufacturing for advanced ceramics, detailing feedstock options and key process parameters. By critically addressing defect mechanisms like porosity and cracking, the work highlights optimization strategies through machine learning and advanced postprocessing.
Meisam Bakhtiari   +4 more
wiley   +1 more source

Numerical solution of variable-order time fractional weakly singular partial integro-differential equations with error estimation

open access: yesMathematical Modelling and Analysis, 2020
In this paper, we apply Legendre-Laguerre functions (LLFs) and collocation method to obtain the approximate solution of variable-order time-fractional partial integro-differential equations (VO-TF-PIDEs) with the weakly singular kernel.
Haniye Dehestani   +2 more
doaj   +1 more source

Polymer Substrates for Flexible Sensors: Advances and Contributions to Smart Agriculture

open access: yesAdvanced Functional Materials, EarlyView.
This review comprehensively summarizes recent advances in polymer‐based flexible sensors for smart agriculture, focusing on polymer substrate design, interface engineering, and applications in soil, plant, animal, aquaculture, and post‐harvest monitoring.
Yihui Li   +12 more
wiley   +1 more source

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