Wen, Jin; Wang, Yong-Ping; Wang, Yu-Xin; Wang, Yong-Qin The quasi-reversibility regularization method for backward problem of the multi-term time-space fractional diffusion equation. (English) Zbl 07810046 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107848, 22 p. (2024). MSC: 35R30 35K20 35R11 65M32 PDFBibTeX XMLCite \textit{J. Wen} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107848, 22 p. (2024; Zbl 07810046) Full Text: DOI
Lenka, Bichitra Kumar; Upadhyay, Ranjit Kumar New results on dynamic output state feedback stabilization of some class of time-varying nonlinear Caputo derivative systems. (English) Zbl 07810011 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107805, 20 p. (2024). MSC: 34Axx 93Dxx 26Axx PDFBibTeX XMLCite \textit{B. K. Lenka} and \textit{R. K. Upadhyay}, Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107805, 20 p. (2024; Zbl 07810011) Full Text: DOI
López, Belen; Okrasińska-Płociniczak, Hanna; Płociniczak, Łukasz; Rocha, Juan Time-fractional porous medium equation: Erdélyi-Kober integral equations, compactly supported solutions, and numerical methods. (English) Zbl 07784320 Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107692, 14 p. (2024). MSC: 34A08 65M12 76S05 PDFBibTeX XMLCite \textit{B. López} et al., Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107692, 14 p. (2024; Zbl 07784320) Full Text: DOI arXiv
Lin, Guoxing Describing NMR chemical exchange by effective phase diffusion approach. (English) Zbl 1522.81784 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107402, 17 p. (2023). MSC: 81V55 PDFBibTeX XMLCite \textit{G. Lin}, Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107402, 17 p. (2023; Zbl 1522.81784) Full Text: DOI arXiv
Feng, Libo; Turner, Ian; Moroney, Timothy; Liu, Fawang Fractional potential: a new perspective on the fractional Laplacian problem on bounded domains. (English) Zbl 1523.35282 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107368, 19 p. (2023). MSC: 35R11 35A35 35K20 PDFBibTeX XMLCite \textit{L. Feng} et al., Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107368, 19 p. (2023; Zbl 1523.35282) Full Text: DOI
Ansari, Alireza; Derakhshan, Mohammad Hossein; Askari, Hassan Distributed order fractional diffusion equation with fractional Laplacian in axisymmetric cylindrical configuration. (English) Zbl 1500.35290 Commun. Nonlinear Sci. Numer. Simul. 113, Article ID 106590, 14 p. (2022). MSC: 35R11 26A33 35A08 35C15 44A10 44A20 PDFBibTeX XMLCite \textit{A. Ansari} et al., Commun. Nonlinear Sci. Numer. Simul. 113, Article ID 106590, 14 p. (2022; Zbl 1500.35290) Full Text: DOI
Olivares, Alberto; Staffetti, Ernesto Robust optimal control of compartmental models in epidemiology: application to the COVID-19 pandemic. (English) Zbl 1490.92111 Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106509, 21 p. (2022). MSC: 92D30 93E20 PDFBibTeX XMLCite \textit{A. Olivares} and \textit{E. Staffetti}, Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106509, 21 p. (2022; Zbl 1490.92111) Full Text: DOI
Vieira, N.; Rodrigues, M. M.; Ferreira, M. Time-fractional telegraph equation of distributed order in higher dimensions. (English) Zbl 1471.35313 Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105925, 32 p. (2021). MSC: 35R11 35L20 26A33 33C60 35C15 35A22 35S10 PDFBibTeX XMLCite \textit{N. Vieira} et al., Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105925, 32 p. (2021; Zbl 1471.35313) Full Text: DOI
Lin, Guoxing Describing NMR relaxation by effective phase diffusion equation. (English) Zbl 1469.78002 Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105825, 15 p. (2021). MSC: 78A25 33E12 60G60 44A10 42A38 34A08 PDFBibTeX XMLCite \textit{G. Lin}, Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105825, 15 p. (2021; Zbl 1469.78002) Full Text: DOI arXiv
Ehstand, Noémie; Kuehn, Christian; Soresina, Cinzia Numerical continuation for fractional PDEs: sharp teeth and bloated snakes. (English) Zbl 1471.65138 Commun. Nonlinear Sci. Numer. Simul. 98, Article ID 105762, 23 p. (2021). MSC: 65M60 65N30 65D32 35B32 35K20 35R11 PDFBibTeX XMLCite \textit{N. Ehstand} et al., Commun. Nonlinear Sci. Numer. Simul. 98, Article ID 105762, 23 p. (2021; Zbl 1471.65138) Full Text: DOI arXiv
Roscani, Sabrina D.; Caruso, Nahuel D.; Tarzia, Domingo A. Explicit solutions to fractional Stefan-like problems for Caputo and Riemann-Liouville derivatives. (English) Zbl 1450.35302 Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105361, 16 p. (2020). MSC: 35R35 35R11 26A33 35C05 33E20 80A22 PDFBibTeX XMLCite \textit{S. D. Roscani} et al., Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105361, 16 p. (2020; Zbl 1450.35302) Full Text: DOI arXiv
Aliahmadi, Hazhir; Tavakoli-Kakhki, Mahsan; Khaloozadeh, Hamid Option pricing under finite moment log stable process in a regulated market: a generalized fractional path integral formulation and Monte Carlo based simulation. (English) Zbl 1508.91547 Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105345, 21 p. (2020). MSC: 91G20 91G80 91B80 26A33 PDFBibTeX XMLCite \textit{H. Aliahmadi} et al., Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105345, 21 p. (2020; Zbl 1508.91547) Full Text: DOI
Beghin, Luisa; Caputo, Michele Commutative and associative properties of the Caputo fractional derivative and its generalizing convolution operator. (English) Zbl 1451.26007 Commun. Nonlinear Sci. Numer. Simul. 89, Article ID 105338, 6 p. (2020). Reviewer: Kai Diethelm (Schweinfurt) MSC: 26A33 26A06 60G51 PDFBibTeX XMLCite \textit{L. Beghin} and \textit{M. Caputo}, Commun. Nonlinear Sci. Numer. Simul. 89, Article ID 105338, 6 p. (2020; Zbl 1451.26007) Full Text: DOI
Cusimano, Nicole; Gizzi, A.; Fenton, Flavio H.; Filippi, S.; Gerardo-Giorda, L. Key aspects for effective mathematical modelling of fractional-diffusion in cardiac electrophysiology: a quantitative study. (English) Zbl 1451.92083 Commun. Nonlinear Sci. Numer. Simul. 84, Article ID 105152, 22 p. (2020). MSC: 92C30 92-10 PDFBibTeX XMLCite \textit{N. Cusimano} et al., Commun. Nonlinear Sci. Numer. Simul. 84, Article ID 105152, 22 p. (2020; Zbl 1451.92083) Full Text: DOI
Liang, Yingjie; Chen, Wen; Xu, Wei; Sun, HongGuang Distributed order Hausdorff derivative diffusion model to characterize non-Fickian diffusion in porous media. (English) Zbl 1464.82017 Commun. Nonlinear Sci. Numer. Simul. 70, 384-393 (2019). MSC: 82C70 PDFBibTeX XMLCite \textit{Y. Liang} et al., Commun. Nonlinear Sci. Numer. Simul. 70, 384--393 (2019; Zbl 1464.82017) Full Text: DOI arXiv
Feng, Libo; Liu, Fawang; Turner, Ian Finite difference/finite element method for a novel 2D multi-term time-fractional mixed sub-diffusion and diffusion-wave equation on convex domains. (English) Zbl 1464.65119 Commun. Nonlinear Sci. Numer. Simul. 70, 354-371 (2019). MSC: 65M60 PDFBibTeX XMLCite \textit{L. Feng} et al., Commun. Nonlinear Sci. Numer. Simul. 70, 354--371 (2019; Zbl 1464.65119) Full Text: DOI Link
Tarasov, Vasily E.; Tarasova, Svetlana S. Fractional and integer derivatives with continuously distributed lag. (English) Zbl 1464.26008 Commun. Nonlinear Sci. Numer. Simul. 70, 125-169 (2019). MSC: 26A33 34K37 60E05 PDFBibTeX XMLCite \textit{V. E. Tarasov} and \textit{S. S. Tarasova}, Commun. Nonlinear Sci. Numer. Simul. 70, 125--169 (2019; Zbl 1464.26008) Full Text: DOI
Płociniczak, Łukasz Derivation of the nonlocal pressure form of the fractional porous medium equation in the hydrological setting. (English) Zbl 1509.35357 Commun. Nonlinear Sci. Numer. Simul. 76, 66-70 (2019). MSC: 35R11 35K59 35R09 PDFBibTeX XMLCite \textit{Ł. Płociniczak}, Commun. Nonlinear Sci. Numer. Simul. 76, 66--70 (2019; Zbl 1509.35357) Full Text: DOI arXiv
de Oliveira, E. Capelas; Jarosz, S.; Vaz, J. jun. Fractional calculus via Laplace transform and its application in relaxation processes. (English) Zbl 1457.76153 Commun. Nonlinear Sci. Numer. Simul. 69, 58-72 (2019). MSC: 76R50 26A33 PDFBibTeX XMLCite \textit{E. C. de Oliveira} et al., Commun. Nonlinear Sci. Numer. Simul. 69, 58--72 (2019; Zbl 1457.76153) Full Text: DOI
Martelloni, Gianluca; Bagnoli, Franco; Guarino, Alessio A 3D model for rain-induced landslides based on molecular dynamics with fractal and fractional water diffusion. (English) Zbl 1459.76140 Commun. Nonlinear Sci. Numer. Simul. 50, 311-329 (2017). MSC: 76R50 76T99 76M99 74L05 74A25 26A33 PDFBibTeX XMLCite \textit{G. Martelloni} et al., Commun. Nonlinear Sci. Numer. Simul. 50, 311--329 (2017; Zbl 1459.76140) Full Text: DOI arXiv
Kaur, Inderpreet; Mentrelli, Andrea; Bosseur, Frédéric; Filippi, Jean-Baptiste; Pagnini, Gianni Turbulence and fire-spotting effects into wild-land fire simulators. (English) Zbl 1461.76367 Commun. Nonlinear Sci. Numer. Simul. 39, 300-320 (2016). MSC: 76M99 76F80 76V05 80A25 86A10 PDFBibTeX XMLCite \textit{I. Kaur} et al., Commun. Nonlinear Sci. Numer. Simul. 39, 300--320 (2016; Zbl 1461.76367) Full Text: DOI arXiv Link
Bolat, Yaşar On the oscillation of fractional-order delay differential equations with constant coefficients. (English) Zbl 1440.34067 Commun. Nonlinear Sci. Numer. Simul. 19, No. 11, 3988-3993 (2014). MSC: 34K11 34K37 PDFBibTeX XMLCite \textit{Y. Bolat}, Commun. Nonlinear Sci. Numer. Simul. 19, No. 11, 3988--3993 (2014; Zbl 1440.34067) Full Text: DOI
Zingales, Massimiliano Fractional-order theory of heat transport in rigid bodies. (English) Zbl 1470.80007 Commun. Nonlinear Sci. Numer. Simul. 19, No. 11, 3938-3953 (2014). MSC: 80A19 74F05 PDFBibTeX XMLCite \textit{M. Zingales}, Commun. Nonlinear Sci. Numer. Simul. 19, No. 11, 3938--3953 (2014; Zbl 1470.80007) Full Text: DOI Link
Bhalekar, Sachin; Daftardar-Gejji, Varsha Synchronization of different fractional order chaotic systems using active control. (English) Zbl 1222.94031 Commun. Nonlinear Sci. Numer. Simul. 15, No. 11, 3536-3546 (2010). MSC: 94A60 37N35 34A08 34H10 PDFBibTeX XMLCite \textit{S. Bhalekar} and \textit{V. Daftardar-Gejji}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 11, 3536--3546 (2010; Zbl 1222.94031) Full Text: DOI
Bhalekar, Sachin; Daftardar-Gejji, Varsha Fractional ordered Liu system with time-delay. (English) Zbl 1222.34005 Commun. Nonlinear Sci. Numer. Simul. 15, No. 8, 2178-2191 (2010). MSC: 34A08 34D20 37D45 45J05 26A33 65L06 PDFBibTeX XMLCite \textit{S. Bhalekar} and \textit{V. Daftardar-Gejji}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 8, 2178--2191 (2010; Zbl 1222.34005) Full Text: DOI
Baleanu, Dumitru; Trujillo, Juan I. A new method of finding the fractional Euler-Lagrange and Hamilton equations within Caputo fractional derivatives. (English) Zbl 1221.34008 Commun. Nonlinear Sci. Numer. Simul. 15, No. 5, 1111-1115 (2010). MSC: 34A08 26A33 45J05 70H03 PDFBibTeX XMLCite \textit{D. Baleanu} and \textit{J. I. Trujillo}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 5, 1111--1115 (2010; Zbl 1221.34008) Full Text: DOI
Ray, Santanu Saha Analytical solution for the space fractional diffusion equation by two-step Adomian decomposition method. (English) Zbl 1221.65284 Commun. Nonlinear Sci. Numer. Simul. 14, No. 4, 1295-1306 (2009). MSC: 65M99 35K57 35A25 35C05 PDFBibTeX XMLCite \textit{S. S. Ray}, Commun. Nonlinear Sci. Numer. Simul. 14, No. 4, 1295--1306 (2009; Zbl 1221.65284) Full Text: DOI