Results 21 to 30 of about 623 (167)

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   +4 more sources

Better Approximation of Milne-Type Inequalities via Convex Functions and ABK Fractional Integral Operators

Journal of Applied Mathematics
In this paper, we give an identity for the function which is twice differentiable. Through the applications of this identity and Atangana–Baleanu–Katugampola (ABK) fractional integrals, several fractional Milne-type inequalities are derived for functions
Muhammad Bilal Ahmed, Khuram Ali Khan, Ammara Nosheen, Ndolane Sene   +3 more
doaj   +2 more sources

Fractional-Order Epidemic Model for Measles Infection. [PDF]

Scientifica (Cairo)
In this study, a nonlinear dynamic SEVIQR measles epidemic model is constructed and analyzed using the novel Caputo fractional‐order derivative operator. The model’s existence and uniqueness are established. In addition, the model equilibria are determined, and the novel Jacobian determinant method recently constructed in the literature of ...
Akuka PNA, Seidu B, Okyere E, Abagna S.
europepmc   +2 more sources

Controllability results to non-instantaneous impulsive with infinite delay for generalized fractional differential equations

Alexandria Engineering Journal, 2023
This paper discusses controllability results for active types with infinite-time delay of non-instantaneous impulsive fractional differential equations.
Ahmed Salem, Sanaa Abdullah
doaj   +1 more source

Certain fractional integral inequalities using generalized Katugampola fractional integral operator

Malaya Journal of Matematik, 2020
The purpose of this paper is to obtain some new fractional integral inequalities involving convex functions by applying generalized Katugampola fractional integral operator.
null Asha B. Nale, null Satish K. Panchal, null Vaijanath L. Chinchane   +2 more
openaire   +1 more source

On new fractional integral inequalities for p-convexity within interval-valued functions

Advances in Difference Equations, 2020
This work mainly investigates a class of convex interval-valued functions via the Katugampola fractional integral operator. By considering the p-convexity of the interval-valued functions, we establish some integral inequalities of the Hermite–Hadamard ...
Thabet Abdeljawad, Saima Rashid, Hasib Khan, Yu-Ming Chu   +3 more
doaj   +1 more source

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

Ostrowski type inequalities via the Katugampola fractional integrals

AIMS Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gurbuz, Mustafa, Tasdan, Yakup, Set, Erhan   +2 more
openaire   +3 more sources

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

An investigation of a new Lyapunov-type inequality for Katugampola–Hilfer fractional BVP with nonlocal and integral boundary conditions

Journal of Inequalities and Applications, 2023
In this manuscript, we focus our attention on investigating new Lyapunov-type inequalities (LTIs) for two classes of boundary value problems (BVPs) in the framework of Katugampola–Hilfer fractional derivatives, supplemented by nonlocal, integral, and ...
Sabri T. M. Thabet, Imed Kedim
doaj   +1 more source