Results 21 to 30 of about 1,618,914 (306)

A Generalized ML-Hyers-Ulam Stability of Quadratic Fractional Integral Equation

open access: yesNonlinear Engineering, 2021
An interesting quadratic fractional integral equation is investigated in this work via a generalized Mittag-Leffler (ML) function. The generalized ML–Hyers–Ulam stability is established in this investigation.
Mohammed K. A. Kaabar   +5 more
semanticscholar   +1 more source

Noncommutative fractional integrals [PDF]

open access: yesStudia Mathematica, 2016
Let $\M$ be a hyperfinite finite von Nemann algebra and $(\M_k)_{k\geq 1}$ be an increasing filtration of finite dimensional von Neumann subalgebras of $\M$. We investigate abstract fractional integrals associated to the filtration $(\M_k)_{k\geq 1}$. For a finite noncommutative martingale $x=(x_k)_{1\leq k\leq n} \subseteq L_1(\M)$ adapted to $(\M_k)_{
Randrianantoanina, Narcisse, Wu, Lian
openaire   +2 more sources

Contribution of Using Hadamard Fractional Integral Operator via Mellin Integral Transform for Solving Certain Fractional Kinetic Matrix Equations

open access: yesFractal and Fractional, 2022
Recently, the importance of fractional differential equations in the field of applied science has gained more attention not only in mathematics but also in electrodynamics, control systems, economic, physics, geophysics and hydrodynamics.
M. Abdalla, M. Akel
semanticscholar   +1 more source

A Comprehensive Review on the Fejér-Type Inequality Pertaining to Fractional Integral Operators

open access: yesAxioms, 2023
A review of the results on the fractional Fejér-type inequalities, associated with different families of convexities and different kinds of fractional integrals, is presented.
Muhammad Tariq   +2 more
doaj   +1 more source

Generalized proportional fractional integral Hermite–Hadamard’s inequalities

open access: yesAdvances in Difference Equations, 2021
The theory of fractional integral inequalities plays an intrinsic role in approximation theory also it has been a key in establishing the uniqueness of solutions for some fractional differential equations.
Tariq A. Aljaaidi   +5 more
doaj   +1 more source

Novel Computations of the Time-Fractional Fisher’s Model via Generalized Fractional Integral Operators by Means of the Elzaki Transform

open access: yesFractal and Fractional, 2021
The present investigation dealing with a hybrid technique coupled with a new iterative transform method, namely the iterative Elzaki transform method (IETM), is employed to solve the nonlinear fractional Fisher’s model.
S. Rashid   +4 more
semanticscholar   +1 more source

On the weighted fractional Pólya–Szegö and Chebyshev-types integral inequalities concerning another function

open access: yesAdvances in Difference Equations, 2020
The primary objective of this present paper is to establish certain new weighted fractional Pólya–Szegö and Chebyshev type integral inequalities by employing the generalized weighted fractional integral involving another function Ψ in the kernel.
Kottakkaran Sooppy Nisar   +4 more
doaj   +1 more source

New integral inequalities for differentiable convex functions via Atangana-Baleanu fractional integral operators

open access: yes, 2021
Inequalities, including fractional integrals, have become a very popular method and have been the main motivation point for many studies in recent years.
E. Set   +4 more
semanticscholar   +1 more source

New general Grüss-type inequalities over σ-finite measure space with applications

open access: yesAdvances in Difference Equations, 2020
In this paper, we establish some new integral inequalities involving general kernels. We obtain the related broad range of fractional integral inequalities.
Sajid Iqbal   +5 more
doaj   +1 more source

Certain Inequalities Pertaining to Some New Generalized Fractional Integral Operators

open access: yesFractal and Fractional, 2021
In this paper, we introduce the generalized left-side and right-side fractional integral operators with a certain modified ML kernel. We investigate the Chebyshev inequality via this general family of fractional integral operators.
H. Srivastava   +3 more
semanticscholar   +1 more source

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