Results 61 to 70 of about 1,528 (178)

On some integral inequalities for (k,h)-Riemann-Liouville fractional integral

New Trends in Mathematical Science, 2016
In this study, giving the definition of fractional integral, which are with the help of synchronous and monotonic function, some fractional integral inequalities have established.
AKKURT, Abdullah, YİLDİRİM, M. Esra, YİLDİRİM, Huseyin Yildirim   +2 more
openaire   +2 more sources

Improving the Characteristics of the Direct FOC Strategy in DFIG‐Based Wind Turbine Systems Using FOIDD and FOPD Controllers

Energy Science &Engineering, Volume 14, Issue 2, Page 999-1021, February 2026.
This study presents a new control strategy for doubly fed induction generator (DFIG) wind turbine systems to overcome the limitations of traditional direct field control using proportional‐integral (DFOC‐PI) regulators, which are sensitive to coefficient changes and lead to low power quality.
Hamza Gasmi, Habib Benbouhenni, Z. M. S. Elbarary, Ilhami Colak, Tahar Tafticht, Salman Arafath Mohammed   +5 more
wiley   +1 more source

Hermite-Hadamard type inequalities, convex stochastic processes and Katugampola fractional integral

Revista Integración, 2018
In this work we present some Hermite-Hadamard type inequalities for convex Stochastic Processes using the Katugampola fractional integral, and from these results specific cases are deduced for the Riemann-Liouville fractional integral and Riemann ...
Jorge E. Hernández H., Juan Francisco Gómez   +1 more
doaj  

Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups

Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 499-511, 30 January 2026.
ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane, Ahmad Z. Fino, Berikbol T. Torebek, Zineb Sabbagh   +3 more
wiley   +1 more source

Fractional Integral Equations Tell Us How to Impose Initial Values in Fractional Differential Equations

Mathematics, 2020
One major question in Fractional Calculus is to better understand the role of the initial values in fractional differential equations. In this sense, there is no consensus about what is the reasonable fractional abstraction of the idea of “initial value ...
Daniel Cao Labora
doaj   +1 more source

Generalizations of Riemann–Liouville fractional integrals and applications

Mathematical Methods in the Applied Sciences
The notion of a generalized Riemann–Liouville fractional integral is introduced, and its domain, range, and properties are studied. The new notion and properties provide new insight and understanding into the classical Riemann–Liouville fractional integral and its properties.
openaire   +1 more source

On Fractional Integral Inequalities Involving Riemann-Liouville Operators

, 2022
Here, we seek to prove some novel fractional integral inequalities for synchronous functions connected to the Chebyshev functional, involving the Gauss hypergeometric function. The final section presents a number of special instances as fractional integral inequalities involving Riemann-Liouville type fractional integral operators.
Kalpana Rajput,, Rajshreemishra,, D.K. Jain,, Farooq Ahmad,, Peer Javaid Ahmad,   +4 more
openaire   +1 more source

New variants of fuzzy optimal control problems

Asian Journal of Control, Volume 28, Issue 1, Page 116-123, January 2026.
Abstract This study introduces a groundbreaking approach to optimal control problems by incorporating fuzzy conformable derivatives. Our primary goal is to identify the optimal control strategy that maximizes fuzzy performance indices while adhering to fuzzy conformable dynamical systems.
Awais Younus, Iram Ghaffar, Thabet Abdeljawad, Meriem Louafi   +3 more
wiley   +1 more source

Ulam‐type stability of ψ− Hilfer fractional‐order integro‐differential equations with multiple variable delays

Asian Journal of Control, Volume 28, Issue 1, Page 34-45, January 2026.
Abstract We study a nonlinear ψ−$$ \psi - $$ Hilfer fractional‐order delay integro‐differential equation ( ψ−$$ \psi - $$ Hilfer FrODIDE) that incorporates N−$$ N- $$ multiple variable time delays. Utilizing the ψ−$$ \psi - $$ Hilfer fractional derivative ( ψ−$$ \psi - $$ Hilfer‐FrD), we investigate the Ulam–Hyers––Rassias (U–H–R), semi‐Ulam–Hyers ...
Cemil Tunç, Osman Tunç
wiley   +1 more source

No‐regret and low‐regret control for a weakly coupled abstract hyperbolic system

Asian Journal of Control, Volume 28, Issue 1, Page 312-324, January 2026.
Abstract This paper explores an optimal control problem of weakly coupled abstract hyperbolic systems with missing initial data. Hyperbolic systems, known for their wave‐like phenomena and complexity, become even more challenging with weak coupling between subsystems.
Meriem Louafi, Mohammed Messaoudi, Thabet Abdeljawad, Fahd Jarad   +3 more
wiley   +1 more source