Results 91 to 100 of about 2,558 (225)
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
Results in Physics, 2019 In this paper, we obtain several novelty solutions by applying the improved F-expansion method to solve the space–time fractional Zakhorov Kuznetsov Benjamin Bona Mahony (ZKBBM) equation and the space–time fractional symmetric regularized long wave (SRLW)
David Yaro +4 more
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Equivalence of the Initialized Riemann-Liouville Derivatives and the Initialized Caputo Derivatives
, 2018 Initialization of fractional differential equations remains an ongoing problem. In recent years, the initialization function approach and the infinite state approach provide two effective ways to deal with this problem. The purpose of this paper is to prove the equivalence of the initialized Riemann-Liouville derivatives and the initialized Caputo ...
Yuan, Jian, Xiu, Guozhong, Shi, Bao
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Computational Methods for Parameter Identification in 2D Fractional System with Riemann-Liouville Derivative. [PDF]
Sensors (Basel), 2022 Brociek R +4 more
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Results in Physics, 2017 The concept of differentiation with the generalized Mittag-Leffler law is used in this paper to construct the model of movement of groundwater pollution with degradation and limited sorption. The fractional differentiation used in the model is in Riemann-
Badr Saad T. Alkahtani, Abdon Atangana
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A further extension of the extended Riemann–Liouville fractional derivative operator
TURKISH JOURNAL OF MATHEMATICS, 2018 Summary: The main objective of this paper is to establish the extension of an extended fractional derivative operator by using an extended beta function recently defined by Parmar et al. by considering the Bessel functions in its kernel. We also give some results related to the newly defined fractional operator, such as Mellin transform and relations ...
Martin BOHNER +3 more
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On the Qualitative Analysis of Solutions of Two Fractional Order Fractional Differential Equations
MathematicsIn applied sciences, besides the importance of obtaining the analytical solutions of differential equations with constant coefficients, the qualitative analysis of the solutions of such equations is also very important.
Yasar Bolat +2 more
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Nonlinear Caputo Fractional Derivative with Nonlocal Riemann-Liouville Fractional Integral Condition Via Fixed Point Theorems [PDF]
, 2019 Piyachat Borisut +3 more
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Abstract and Applied Analysis, 2013 We obtain the approximate analytical solution for the fractional quadratic Riccati differential equation with the Riemann-Liouville derivative by using the Bernstein polynomials (BPs) operational matrices.
Dumitru Baleanu +2 more
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