Results 91 to 100 of about 306,804 (149)
Frontiers of fractals for complex systems: recent advances and future challenges. [PDF]
Eur Phys J Spec Top, 2021 Gowrisankar A, Banerjee S.
europepmc +1 more source
Geometric Approach to the integral $\int \sec x\,dx$ [PDF]
arXiv, 2015 We give a geometric proof of the evaluation of the integral $\int \sec x\,dx$ which is normally done using a rather ad hoc approach.
arxiv
Study of Fractional Order SEIR Epidemic Model and Effect of Vaccination on the Spread of COVID-19. [PDF]
Int J Appl Comput Math, 2022 Paul S +5 more
europepmc +1 more source
Gruss-type inequality by mean of a fractional integral [PDF]
arXiv, 2017 In this paper, using a fractional integral as proposed by Katugampola we establish a generalization of integral inequalities of Gruss-type. We prove two theorems associated with these inequalities and then immediately we enunciate and prove others inequalities associated with these fractional operator.
arxiv
Linearized stability analysis of Caputo-Katugampola fractional-order nonlinear systems [PDF]
arXiv, 2018 In this paper, a linearized asymptotic stability result for a Caputo-Katugampola fractional-order systems is described. An application is given to demonstrate the validity of the proposed results.
arxiv
Analysis of COVID-19 epidemic model with sumudu transform. [PDF]
AIMS Public Health, 2022 Farman M, Azeem M, Ahmad MO.
europepmc +1 more source
Existence and Uniqueness results for a class of Generalized Fractional Differential Equations [PDF]
arXiv, 2014 The author (Bull. Math. Anal. App. 6(4)(2014):1-15), introduced a new fractional derivative, \[{}^\rho \mathcal{D}_a^\alpha f (x) = \frac{\rho^{\alpha-n+1}}{\Gamma({n-\alpha})} \, \bigg(x^{1-\rho} \,\frac{d}{dx}\bigg)^n \int^x_a \frac{\tau^{\rho-1} f(\tau)}{(x^\rho - \tau^\rho)^{\alpha-n+1}}\, d\tau \] which generalizes two familiar fractional ...
arxiv
Dynamics of SIQR epidemic model with fractional order derivative. [PDF]
Partial Differ Equ Appl Math, 2022 Paul S, Mahata A, Mukherjee S, Roy B.
europepmc +1 more source
International Journal of Analysis and Applications, 2017 In this paper, we extend the definition of the fractional integral and derivative introduced in [Appl. Math. Comput. 218 (2011)] by Katugampola, which exhibits nice properties only for numbers whose real parts lie in [0,1].
Basak Karpuz +3 more
doaj +2 more sources