Results 61 to 70 of about 147 (119)

New Integral Inequalities via the Katugampola Fractional Integrals for Functions Whose Second Derivatives Are Strongly η-Convex

Mathematics, 2019
In this paper, we introduced some new integral inequalities of the Hermite⁻Hadamard type for functions whose second derivatives in absolute values at certain powers are strongly η -convex functions via the Katugampola fractional integrals.
Seth Kermausuor, Eze R. Nwaeze, Ana M. Tameru   +2 more
doaj   +1 more source

New fractional Hermite–Hadamard and Fejér inequalities involving special functions with applications to numerical quadrature rules

Journal of Nigerian Society of Physical Sciences
The principal objective of this article is to establish new and refined variants of Hermite--Hadamard- and Fej'{e}r-type integral inequalities in the interval-valued setting by exploiting the auxiliary transformed mapping mathcal{G}(s) := mathcal{F}(s ...
Haitham Qawaqneh, Waqar Afzal, Mujahid Abbas, Muhammad Tariq, Mehreen Shehzadi Khan, Siegfried Macías, Jorge E. Macías-Díaz, Hijaz Ahmad, Waleed Mohammed Abdelfattah   +8 more
doaj   +1 more source

A comprehensive review of the Pachpatte-type inequality pertaining to fractional integral operators [PDF]

Surveys in Mathematics and its Applications
In the frame of fractional calculus, the term convexity is primarily utilized to address several challenges in both pure and applied research. The main focus and objective of this review paper is to present Pachpatte-type inequalities involving a variety
Muhammad Tariq, Asif Ali Shaikh, Sotiris K. Ntouyas   +2 more
doaj  

Basic Theory for Differential Equations with Unified Reimann-Liouville and Hadamard Type Fractional Derivatives

International Journal of Analysis and Applications, 2017
In this paper, we extend the definition of the fractional integral and derivative introduced in [Appl. Math. Comput. 218 (2011)] by Katugampola, which exhibits nice properties only for numbers whose real parts lie in [0,1].
Basak Karpuz, Umut M. Ozkan, Tugba Yalcin, Mustafa K. Yildiz   +3 more
doaj   +2 more sources

Frontiers of fractals for complex systems: recent advances and future challenges. [PDF]

Eur Phys J Spec Top, 2021
Gowrisankar A, Banerjee S.
europepmc   +1 more source

Study of Fractional Order SEIR Epidemic Model and Effect of Vaccination on the Spread of COVID-19. [PDF]

Int J Appl Comput Math, 2022
Paul S, Mahata A, Mukherjee S, Roy B, Salimi M, Ahmadian A.   +5 more
europepmc   +1 more source

Analysis of COVID-19 epidemic model with sumudu transform. [PDF]

AIMS Public Health, 2022
Farman M, Azeem M, Ahmad MO.
europepmc   +1 more source

Dynamics of SIQR epidemic model with fractional order derivative. [PDF]

Partial Differ Equ Appl Math, 2022
Paul S, Mahata A, Mukherjee S, Roy B.
europepmc   +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
doaj   +1 more source

A novel comparative case study of entropy generation for natural convection flow of proportional-Caputo hybrid and Atangana baleanu fractional derivative. [PDF]

Sci Rep, 2021
Khan D, Kumam P, Watthayu W.
europepmc   +1 more source