[PDF][PDF] Ostrowski type inequalities in the sense of generalized K-fractional integral operator for exponentially convex functions

S Rashid, MA Noor, KI Noor, YM Chu - AIMS Math, 2020 - aimspress.com
The investigation of the proposed methods is effective and convenient for solving the
integrodifferential and difference equations. In this note, we introduce the generalized K …

On generalized fractional integral inequalities for the monotone weighted Chebyshev functionals

G Rahman, KS Nisar, B Ghanbari… - Advances in Difference …, 2020 - Springer
In this paper, we establish the generalized Riemann–Liouville (RL) fractional integrals in the
sense of another increasing, positive, monotone, and measurable function Ψ. We determine …

On the nonlinear (k, ψ)-Hilfer fractional differential equations

KD Kucche, AD Mali - Chaos, Solitons & Fractals, 2021 - Elsevier
In the current paper, we present the most generalized variant of the Hilfer derivative so-
called (k, Ψ)-Hilfer fractional derivative operator. The (k, Ψ)-Riemann-Liouville and (k, Ψ) …

Numerical approximation of fractional‐order Volterra integrodifferential equation

X Qiang, Kamran, A Mahboob… - Journal of Function …, 2020 - Wiley Online Library
Laplace transform is a powerful tool for solving differential and integrodifferential equations
in engineering sciences. The use of Laplace transform for the solution of differential or …

A unified integral operator and further its consequences

G Farid - Open Journal of Mathematical Analysis, 2020 - article.researchpromo.com
The aim of this paper is to construct left sided and right sided integral operators in a unified
form. These integral operators produce various well known integral operators in the theory of …

On a new generalized integral operator and certain operating properties

PM Guzman, LM Lugo, JE Nápoles Valdés… - Axioms, 2020 - mdpi.com
Axioms | Free Full-Text | On a New Generalized Integral Operator and Certain Operating
Properties Next Article in Journal Existence Results for Nonlocal Multi-Point and Multi-Term …

Inequalities for a unified integral operator and associated results in fractional calculus

YC Kwun, G Farid, S Ullah, W Nazeer, K Mahreen… - IEEE …, 2019 - ieeexplore.ieee.org
Integral operators are useful in real analysis, mathematical analysis, functional analysis and
other subjects of mathematical approach. The goal of this paper is to study a unified integral …

[PDF][PDF] Existence of an integral operator and its consequences in fractional and conformable integrals

G Farid - Open J. Math. Sci, 2019 - pisrt.org
1 Department of Mathematics, COMSATS University Islamabad, Attock Campus, Pakistan.*
Correspondence: ghlmfarid@ ciit-attock. edu. pk Received: 12 March 2019; Accepted: 11 …

Hermite–Jensen–Mercer type inequalities for Caputo fractional derivatives

J Zhao, SI Butt, J Nasir, Z Wang… - Journal of Function …, 2020 - Wiley Online Library
In this article, certain Hermite–Jensen–Mercer type inequalities are proved via Caputo
fractional derivatives. We established some new inequalities involving Caputo fractional …

Exploration of Hermite–Hadamard-Type Integral Inequalities for Twice Differentiable h-Convex Functions

M Vivas-Cortez, M Samraiz, MT Ghaffar, S Naheed… - Fractal and …, 2023 - mdpi.com
The significance of fractional calculus cannot be underestimated, as it plays a crucial role in
the theory of inequalities. In this paper, we study a new class of mean-type inequalities by …