Results 61 to 70 of about 12,832 (159)

Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the String‐Theoretical Swampland Programme

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley   +1 more source

Fractional variational calculus of variable order

, 2012
We study the fundamental problem of the calculus of variations with variable order fractional operators. Fractional integrals are considered in the sense of Riemann-Liouville while derivatives are of Caputo type.Comment: Submitted 26-Sept-2011; accepted ...
A Almeida, AA Kilbas, AB Malinowska, B Brunt van, B Ross, CF Lorenzo, CFM Coimbra, D Mozyrska, D Mozyrska, F. Riewe, F. Riewe, G Diaz, GSF Frederico, GSF Frederico, HTC Pedro, J. Cresson, JA Tenreiro Machado, LES Ramirez, M Klimek, M Klimek, M Klimek, M Klimek, M Klimek, NRO Bastos, NRO Bastos, P Ivady, R Almeida, R. Almeida, SG Samko, SG Samko, SG Samko, T Odzijewicz, T Odzijewicz, TM Atanackovic   +33 more
core   +1 more source

A fractional residue theorem and its applications in calculating real integrals

Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract As part of an ongoing effort to fractionalise complex analysis, we present a fractional version of the residue theorem, involving pseudo‐residues calculated at branch points. Since fractional derivatives are non‐local and fractional powers necessitate branch cuts, each pseudo‐residue depends on a line segment in the complex plane rather than a
Egor Zaytsev, Arran Fernandez
wiley   +1 more source

The Essential Gronwall Inequality Demands the $\left(\rho,\varphi \right) -$Fractional Operator with Applications in Economic Studies

Universal Journal of Mathematics and Applications
Gronwall's inequalities are important in the study of differential equations and integral inequalities. Gronwall inequalities are a valuable mathematical technique with several applications.
Rabha Ibrahim, Zoubir Dahmani, Mohamed Bezzıou   +2 more
doaj   +1 more source

Riemann–Liouville Operator in Weighted L_p Spaces via the Jacobi Series Expansion

Axioms, 2019
In this paper, we use the orthogonal system of the Jacobi polynomials as a tool to study the Riemann−Liouville fractional integral and derivative operators on a compact of the real axis.
Maksim V. Kukushkin
doaj   +1 more source

Fractional Vector Calculus and Fractional Maxwell's Equations

, 2011
The theory of derivatives and integrals of non-integer order goes back to Leibniz, Liouville, Grunwald, Letnikov and Riemann. The history of fractional vector calculus (FVC) has only 10 years. The main approaches to formulate a FVC, which are used in the
Belleguie, Ben Adda, Ben Adda, Ben Adda, Ben Adda, Brandt, Chen, Cottrill-Shepherd, Engheta, Foley, Gelfand, Genchev, Hussain, Hussain, Kazbekov, Kilbas, Kiryakova, Laskin, Mashhoon, Mashhoon, Mashhoon, McBride, Meerschaert, Metzler, Metzler, Miller, Montroll, Naqvi, Naqvi, Nishimoto, Oldham, Pierantozzi, Podlubny, Ross, Rubin, Samko, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Tarasov, Vasily E. Tarasov, West, Zaslavsky, Zaslavsky   +55 more
core   +1 more source

Existence, Stability, and Data‐Driven Analysis of a Fractional‐Order Avian Influenza Model in Poultry Farms

Engineering Reports, Volume 8, Issue 3, March 2026.
We develop and analyze a fractional‐order avian influenza chicken model for chicken farms, providing existence, uniqueness, and stability results. With real Bangladesh farm data and 80% vaccine efficacy, numerical results show that combining vaccination and treatment can control disease spread by reducing the basic reproduction number below one ...
Muhammad Altaf Khan, Mahmoud H. DarAssi, Irfan Ahmad, Ebraheem Alzahrani, Nurulfiza Mat Isa   +4 more
wiley   +1 more source

Mellin Transforms of the Generalized Fractional Integrals and Derivatives

, 2014
We obtain the Mellin transforms of the generalized fractional integrals and derivatives that generalize the Riemann-Liouville and the Hadamard fractional integrals and derivatives.
Bucchianico, Butkovskii, Butzer, Butzer, Butzer, Butzer, Bóna, Erdélyi, Erdélyi, Flajolet, Gaboury, Goldman, Hadamard, Herrmann, Katugampola, Katugampola, Kilbas, Kilbas, Kilbas, Kilbas, Kiryakova, Machado, Miller, Noor, Noor, Noor, Odzijewicz, Odzijewicz, Odzijewicz, Oldham, Podlubny, Pooseh, Robbins, Robinson, Rodrigues, Roman, Roman, Roman, Rota, Rota, Samko, Udita N. Katugampola, Yakubovich   +42 more
core   +1 more source

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