Results 61 to 70 of about 1,565,786 (254)

Dynamical Analysis of Generalized Tumor Model with Caputo Fractional-Order Derivative

Fractal and Fractional, 2023
In this study, we perform a dynamical analysis of a generalized tumor model using the Caputo fractional-order derivative. Tumor growth models are widely used in biomedical research to understand the dynamics of tumor development and to evaluate potential
Ausif Padder, Laila Almutairi, Sania Qureshi, Amanullah Soomro, Afroz Afroz, Evren Hincal, Asifa Tassaddiq   +6 more
doaj   +1 more source

Infrared spectroscopy of diatomic molecules - a fractional calculus approach

, 2012
The eigenvalue spectrum of the fractional quantum harmonic oscillator is calculated numerically solving the fractional Schr\"odinger equation based on the Riemann and Caputo definition of a fractional derivative.
Dirac P. A. M., Eid R., Erdelyi A., Greiner W., Herrmann R., Herrmann R., Herzberg G., Huygens C., Khunrath H., Krause K., Lissajous J. A., Lusztig R., Messiah A., Oldham K. B., Parisi G., Podlubny I., RICHARD HERRMANN, Rubin B., Seybold H. J., Villeneuve D. M., Whitten K. W.   +20 more
core   +1 more source

The Impacts of Health and Environmental Information Nudges on Meat Choices: Where Does Goat Meat Fit?

Agribusiness, EarlyView.
ABSTRACT Amidst a recent surge in US goat meat imports to meet growing demand, this study contributes to the meat demand literature by examining consumer preferences for goat meat, a relatively healthy and environmentally friendly alternative to other popular meats.
Binod Khanal, Sunil P. Dhoubhadel, Rodolfo M. Nayga Jr.   +2 more
wiley   +1 more source

More generalized groundwater model with space‐time caputo Fabrizio fractional differentiation [PDF]

Numerical Methods for Partial Differential Equations, 2017
We prove existence and uniqueness of the flow of water within a confined aquifer with fractional diffusion in space and fractional time derivative in the sense of Caputo‐Fabrizio using the classical contraction Banach theorem. We also propose the numerical approximation of the model using the Crank–Nicolson numerical scheme.
Jean‐Daniel Djida, Abdon Atangana
openaire   +3 more sources

The Diagnosis That Arrived Decades Late: Living Without and Then With Myhre Syndrome

American Journal of Medical Genetics Part C: Seminars in Medical Genetics, EarlyView.
ABSTRACT Myhre syndrome (MIM #139210) is a rare multisystem disorder first described in 1981, characterized by short stature, neurodevelopmental delay, joint contractures, and cardiopulmonary complications. Its molecular basis, recurrent pathogenic variants in SMAD4, was not discovered until 2011. This narrative is based on a review of medical records,
Abdallah F. Elias
wiley   +1 more source

On Caputo modification of Hadamard-type fractional derivative and fractional Taylor series

Advances in Difference Equations, 2020
In this paper a general framework is presented on some operational properties of Caputo modification of Hadamard-type fractional differential operator along with a new algorithm proposed for approximation of Hadamard-type fractional integral using Haar ...
Rashida Zafar, Mujeeb ur Rehman, Moniba Shams   +2 more
doaj   +1 more source

Generalized Fractional Evolution Equation [PDF]

, 2007
2000 Mathematics Subject Classification: Primary 46F25, 26A33; Secondary: 46G20In this paper we study the generalized Riemann-Liouville (resp. Caputo) time fractional evolution equation in infinite dimensions.
Da Silva, J. L., Erraoui, M., Ouerdiane, H.   +2 more
core  

Lyapunov type inequality in the frame of generalized Caputo derivatives

Discrete and Continuous Dynamical Systems. Series A, 2021
In this paper, we establish the Lyapunov-type inequality for boundary value problems involving generalized Caputo fractional derivatives that unite the Caputo and Caputo-Hadamrad fractional derivatives. An application about the zeros of generalized types
F. Jarad, Y. Adjabi, T. Abdeljawad, Saed F. Mallak, Hussam Alrabaiah   +4 more
semanticscholar   +1 more source

Thermal Conductance and Mass Transport of Brinkman‐Type Nanofluids Across Porous Plates: A Prabhakar‐Fractional Approach

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT The paper establishes an advanced computing algorithm to investigate the thermosolutal dynamics of an electrically conductive Brinkman‐type nanofluid that moves in a porous channel, and the fluid is acted on by an inclined magnetic field exerted externally.
Urwa Shehbaz, Umair Khan, MD. Shamshuddin, Nermeen Abdullah, Samia Elattar   +4 more
wiley   +1 more source

Some new uniqueness and Ulam stability results for a class of multiterms fractional differential equations in the framework of generalized Caputo fractional derivative using the Φ-fractional Bielecki-type norm

Turkish Journal of Mathematics, 2021
: In this research article, a novel Φ -fractional Bielecki-type norm introduced by Sousa and Oliveira [23] is used to obtain results on uniqueness and Ulam stability of solutions for a new class of multiterms fractional differential equations in the ...
C. Derbazi, Z. Baitiche, Michal Feckan
semanticscholar   +1 more source