Results 41 to 50 of about 306,804 (149)

Integral inequalities via Raina’s fractional integrals operator with respect to a monotone function

Advances in Difference Equations, 2020
We establish certain new fractional integral inequalities involving the Raina function for monotonicity of functions that are used with some traditional and forthright inequalities.
Shu-Bo Chen, Saima Rashid, Zakia Hammouch, Muhammad Aslam Noor, Rehana Ashraf, Yu-Ming Chu   +5 more
doaj   +1 more source

The Fractional Series Solutions for the Conformable Time‐Fractional Swift‐Hohenberg Equation through the Conformable Shehu Daftardar‐Jafari Approach with Comparative Analysis

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
The major objective of this study is to derive fractional series solutions of the time‐fractional Swift‐Hohenberg equations (TFSHEs) in the sense of conformable derivative using the conformable Shehu transform (CST) and the Daftardar‐Jafari approach (DJA). We call it the conformable Shehu Daftardar‐Jafari approach (CSDJA).
Muhammad Imran Liaqat, Eric Okyere, Arzu Akbulut   +2 more
wiley   +1 more source

Integral Inequalities for s-Convexity via Generalized Fractional Integrals on Fractal Sets

Mathematics, 2020
In this study, we establish new integral inequalities of the Hermite−Hadamard type for s-convexity via the Katugampola fractional integral. This generalizes the Hadamard fractional integrals and Riemann−Liouville into a single form.
Ohud Almutairi, Adem Kılıçman
doaj   +1 more source

Integral Inequalities Using Generalized Convexity Property Pertaining to Fractional Integrals and Their Applications [PDF]

Sahand Communications in Mathematical Analysis
In this study, we established the Hermite-Hadamard type, Simpson type, Ostrowski type and midpoint type integral inequalities for the s-convex functions in the second sense via Katugampola fractional integrals.
Muhammad Talha, Artion Kashuri, Soubhagya Sahoo   +2 more
doaj   +1 more source

On Certain Ostrowski Type Integral Inequalities Involving Atangana-Baleanu Katugampola Fractional Integral Operator for Convex Function with Applications [PDF]

Sahand Communications in Mathematical Analysis
In this paper, new generalized variants of Ostrowski’s type identities involving the Atangana-Baleanu-Katugampola fractional integral operator for differentiable convex and twice differentiable convex functions are presented.
Artion Kashuri, Muhammad Talha, Soubhagya Sahoo   +2 more
doaj   +1 more source

Some k-fractional extension of Grüss-type inequalities via generalized Hilfer–Katugampola derivative

Advances in Difference Equations, 2021
In this paper, we prove several inequalities of the Grüss type involving generalized k-fractional Hilfer–Katugampola derivative. In 1935, Grüss demonstrated a fascinating integral inequality, which gives approximation for the product of two functions ...
Samaira Naz, Muhammad Nawaz Naeem, Yu-Ming Chu   +2 more
doaj   +1 more source

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

Advances 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, Gauhar Rahman, Dumitru Baleanu, Muhammad Samraiz, Sajid Iqbal   +4 more
doaj   +1 more source

Extension of Milne-type inequalities to Katugampola fractional integrals

Boundary Value Problems
This study explores the extension of Milne-type inequalities to the realm of Katugampola fractional integrals, aiming to broaden the analytical tools available in fractional calculus.
Abdelghani Lakhdari, Hüseyin Budak, Muhammad Uzair Awan, Badreddine Meftah   +3 more
openalex   +2 more sources

The Approximate Analytic Solution of the Time-Fractional Black-Scholes Equation with a European Option Based on the Katugampola Fractional Derivative

Mathematics, 2021
In the finance market, it is well known that the price change of the underlying fractal transmission system can be modeled with the Black-Scholes equation.
Sivaporn Ampun, Panumart Sawangtong
doaj   +1 more source

Some New Tempered Fractional Pólya-Szegö and Chebyshev-Type Inequalities with Respect to Another Function

Journal of Mathematics, 2020
In this present article, we establish certain new Pólya–Szegö-type tempered fractional integral inequalities by considering the generalized tempered fractional integral concerning another function Ψ in the kernel. We then prove certain new Chebyshev-type
Gauhar Rahman, Kottakkaran Sooppy Nisar, Thabet Abdeljawad, Muhammad Samraiz   +3 more
doaj   +1 more source