An application of multiple Erdélyi–Kober fractional integral operators to establish new inequalities involving a general class of functions [PDF]
This research aims to develop generalized fractional integral inequalities by utilizing multiple Erdélyi–Kober (E–K) fractional integral operators. Using a set of j, with (j?N) positively continuous and decaying functions in the finite interval a?t?x ...
Qureshi, Sania +9 more
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In this paper, the extended form of the modified Atangana–Baleanu (A-B) Caputo fractional operators (FOs) is introduced and their properties and applications are demonstrated.
Ahsan Mehmood +3 more
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Impulsive fractional order integrodifferential equation via fractional operators. [PDF]
Al-Omari A, Al-Saadi H.
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A Study of Composition Formulas for the Unified Fractional Integral Operators
[[abstract]]In the present paper we derive three new and interesting composition formulas for a general class of fractional integral operators involving the product of a general class of polynomials, a general sequence of functions and a multivariable H ...
Sharma, Arti, Jain, Rashmi
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Numerous special functions, including the beta function, hypergeometric functions, and other orthogonal polynomials, are closely connected to the gamma function. Recently, gamma function has been enhanced by adding a new parameter. As a consequence, this
Ibtehal Alazman, Rabha W. Ibrahim
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Spectral approximation to fractional integral operators
We propose a fast and stable method for constructing matrix approximations to fractional integral operators applied to series in Chebyshev fractional polynomials. Based on a recurrence relation satisfied by the definite integrals of mapped Chebyshev polynomials with a fractional weight, the proposed method significantly outperforms existing approaches.
Xiaolin Liu, Kuan Xu
openaire +3 more sources
Tangent nonlinear equation in context of fractal fractional operators with nonsingular kernel. [PDF]
Zafar ZUA +3 more
europepmc +1 more source
A comparative study of a thermoelastic problem for an infinite rigid cylinder with thermal properties using a new heat conduction model including fractional operators without non-singular kernels. [PDF]
Abouelregal AE.
europepmc +1 more source
Thirty-first Illinois Custom Spray Operators Training School: summaries of presentations [PDF]
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Illinois Custom Spray Operators' School
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