Results 51 to 60 of about 291,483 (125)

Error Bound of Hermite–Hadamard–Mercer Inequalities via ψ−Conformable Fractional Integral Operators on the Coordinates

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This paper develops a family of Hermite–Hadamard–Mercer‐type inequalities within the framework of generalized conformable fractional calculus. By interpreting generalized conformable fractional integrals as weighted integral means depending on the order parameter, we derive refined two‐sided bounds for coordinated convex functions that incorporate ...
Jen Chieh Lo, Mohammad Rezwan Habib
wiley   +1 more source

Solution of Time‐Fractional Coupled Burgers Equations by the Yang Transform Adomian Decomposition Method

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, the Yang transform Adomian decomposition method (YTADM) is employed in the solution of nonlinear time‐fractional coupled Burgers equations. The technique solves the fractional and nonlinear terms successfully via the Adomian decomposition of the Yang transform.
Mustafa Ahmed Ali, Mehmet Merdan, Yeou Jiann Lim   +2 more
wiley   +1 more source

New General Integral Inequalities for Polynomial Convexity in the Framework of k‐Riemann–Liouville Fractional Operators

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
The Hermite–Hadamard inequality, which is widely recognized and studied in the field of inequalities, and the k‐Riemann–Liouville fractional integral inequality, which is a generalization of the Riemann–Liouville fractional operator in operator theory, play a significant role in the existing literature concerning the concept of inequality.
Çetin Yıldız, Ferhat Polat, Fady Hasan, Nabil Mlaiki, Oluwole D. Makinde   +4 more
wiley   +1 more source

On New Generalized Fractional Integral Operators and Related Fractional Inequalities [PDF]

, 2020
In this paper, we define the generalized k-fractional integrals of a function with respect to the another function which generalizes many different types of fractional integrals such as Riemann-Liouville fractional, Hadamard fractional integrals ...
Sarıkaya, Mehmet Zeki, BUDAK, HÜSEYİN, Tunç, Tuba, Usta, Fuat   +3 more
core   +3 more sources

On hermite-hadamard type inequalities via katugampola fractional integrals [PDF]

, 2019
WOS:000488642900009In this paper, we give new definitons related to Katugampola fractional integral for two variables functions. We are interested in giving the Hermite-Hadamard inequality for a rectangle in plane via convex functions on co-ordinates ...
Yaldız, Hatice
core  

New Hermite-Hadamard type inequalities for m and (α, m)-convex functions on the coordinates via generalized fractional integrals

, 2021
In this paper, we obtained a new Hermite-Hadamard type inequality for functions of two independent variables that are m-convex on the coordinates via some generalized Katugampola type fractional integrals. We also established a new identity involving the
Kermausuor, Seth
core   +1 more source

Weddle's Inequality via Katugampola Fractional Integrals

Universal Journal of Mathematics and Applications
Integral inequalities represent an important and ongoing area of study in mathematical understanding. Due to their extensive use in science, fractional calculus approaches have been the subject of a great deal of research recently.
Jamal El-achky
doaj   +1 more source

Visualizing Fractional Integral Inequalities Using Euler’s Beta Function and Extended Convexity

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this research article, we present various extensions and refinements of Hermite–Hadamard and related fractional integral inequalities by utilizing the unique characteristics of Euler’s beta and extended convex functions. In some of these results, Euler’s beta function is used as a weight function, while in the others, Euler’s incomplete beta ...
Muhammad Imran, Ahsan Mehmood, Shahid Mubeen, Muhammad Samraiz, Gauhar Rahman, Mohammad Sediq Safi, Aliaa Burqan   +6 more
wiley   +1 more source

Fractional boundary value problems: Analysis and numerical methods [PDF]

, 2011
This is the author's PDF of an article published in Fractional Calculus and Applied Analysis 2011. The original publication is available at www.springerlink.comThis journal article discusses nonlinear boundary value problems.Fundacao para a Ciencia e ...
M. Luísa Morgado, Ford, Neville J., Morgado, Maria L., Neville J. Ford   +3 more
core   +1 more source

Weighted Inequalities of Milne‐Type and Applications: Bridging Classical and Fractional Integrals

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this study, weighted Milne‐type inequalities are derived for classical integrals, and by selecting special weight functions, several Milne‐type inequalities are presented for well‐known fractional integrals, such as Riemann–Liouville fractional integrals, conformable fractional integrals, and tempered fractional integrals.
Hüseyin Budak, Marko Kostic
wiley   +1 more source