Results 101 to 110 of about 596 (184)

A Fractional Analog of the Duhamel Principle [PDF]

, 2006
Mathematics Subject Classification: 35CXX, 26A33, 35S10The well known Duhamel principle allows to reduce the Cauchy problem for linear inhomogeneous partial differential equations to the Cauchy problem for corresponding homogeneous equations.
Umarov, Sabir, Saydamatov, Erkin
core  

Numerical treatments for the optimal control of two types variable-order COVID-19 model. [PDF]

Results Phys, 2022
Sweilam N, Al-Mekhlafi S, Shatta S, Baleanu D.   +3 more
europepmc   +1 more source

A fractional order pyrolysis model with Atangana-Baleanu-Caputo derivative: analysis and numerical simulation

Open Engineering
Pyrolysis is key to transforming biomass and organic waste into useful energy products. However, standard integer-order models poorly capture the memory and heredity effects that significantly affect the thermal decomposition dynamics of pyrolysis.
Ali Mumtaz, Waeleh Nazreen, Zainuddin Nooraini, Daud Hanita, Jusoh Rahimah, Iqbal Mudassar   +5 more
doaj   +1 more source

Linear Fractional PDE, Uniqueness of Global Solutions [PDF]

, 2005
Mathematics Subject Classification: 26A33, 47A60, 30C15.In this paper we treat the question of existence and uniqueness of solutions of linear fractional partial differential equations.
Nolte, Bodo, Schäfer, Ingo, Kempfle, Siegmar   +2 more
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LADM procedure to find the analytical solutions of the nonlinear fractional dynamics of partial integro-differential equations

Demonstratio Mathematica
Generally, fractional partial integro-differential equations (FPIDEs) play a vital role in modeling various complex phenomena. Because of the several applications of FPIDEs in applied sciences, mathematicians have taken a keen interest in developing and ...
Khan Qasim, Khan Hassan, Kumam Poom, Tchier Fairouz, Singh Gurpreet   +4 more
doaj   +1 more source

Predictive dynamical modeling and stability of the equilibria in a discrete fractional difference COVID-19 epidemic model. [PDF]

Results Phys, 2023
Chu YM, Rashid S, Akdemir AO, Khalid A, Baleanu D, Al-Sinan BR, Elzibar OAI.   +6 more
europepmc   +1 more source

A Poster about the Old History of Fractional Calculus [PDF]

, 2010
MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22The fractional calculus (FC) is an area of intensive research and development. In a previous paper and poster we tried to exhibit its recent state, surveying the period of 1966-2010.
J. T. MACHADO, V. KIRYAKOVA, Kiryakova, Virginia, Tenreiro Machado, J., Tenreiro Machado, J. A., Mainardi, Francesco   +5 more
core  

Extraction of soliton solutions and Painlevé test for fractional Peyrard-Bishop DNA model

Demonstratio Mathematica
The Peyrard-Bishop DNA model is investigated in this study. Two most reliable and efficient analytical techniques, the Jacobi elliptic function method, and the tanh\tanh -coth\coth method, are being employed for finding new and novel soliton solutions ...
Akram Ghazala, Arshed Saima, Sadaf Maasoomah, De la Sen Manuel, Abbas Muhammad, Hamed Yasser Salah   +5 more
doaj   +1 more source

Richards's curve induced Banach space valued ordinary and fractional neural network approximation. [PDF]

Rev R Acad Cienc Exactas Fis Nat A Mat, 2023
Anastassiou GA, Karateke S.
europepmc   +1 more source

A fractional order Covid-19 epidemic model with Mittag-Leffler kernel. [PDF]

Chaos Solitons Fractals, 2021
Khan H, Ibrahim M, Abdel-Aty AH, Khashan MM, Khan FA, Khan A.   +5 more
europepmc   +1 more source