References
- Defterli O. Modeling the impact of temperature on fractional order dengue model with vertical transmission. Int J Optim Control Theor Appl. 2020;10:85–93.
- Su N. Fractional calculus for hydrology, soil science and geomechanics. Boca Raton: CRC Press; 2021.
- Herrmann R. Fractional calculus: an introduction for physicists. Hackensack: World Scientific; 2011.
- Obembe AD, Al-Yousef HY, Hossain ME, et al. Fractional derivatives and their applications in reservoir engineering problems. Rev J Pet Sci Eng. 2017;157:312–327.
- Ahmed HF. Analytic approximate solutions for the 1D and 2D nonlinear fractional diffusion equations of Fisher type. Comp rend l'Acadé Bulg des Sci. 2020;73(3):320–330.
- Ahmed HF, Bahgat MSM, Zaki M. Numerical study of multidimensional fractional time and space coupled Burgers' equations. Pramana. 2020;94(1):1–22.
- Oldham KB. Fractional differential equations in electrochemistry. Adv Eng Softw. 2010;41(1):9–12.
- Ara A, Khan NA, Razzaq OA, et al. Wavelets optimization method for evaluation of fractional partial differential equations: an application to financial modelling. Adv Differ Equ. 2018;1:1–13.
- Podlubny I. Fractional differential equations. San Diego: Academic Press; 1999.
- Povstenko Y. Linear fractional diffusion-wave equation for scientists and engineers. New York: Birkhäuser; 2015.
- Povstenko Y. Fractional thermoelasticity. New York: Springer; 2015.
- Kilbas AA, Srivastava HM, Trujillo JJ. Theory and applications of fractional differential equations. Amsterdam: Elsevier; 2006.
- Jajarmi A, Baleanu D. A new fractional analysis on the interaction of HIV with t-cells. Chaos Solitons Fractals. 2018;113:221–229.
- Baleanu D, Jajarmi A, Bonyah E, et al. New aspects of poor nutrition in the life cycle within the fractional calculus. Adv Differ Equ. 2018;2018(1):230–243.
- Ahmed HF, Bahgat MSM, Zaki M. Numerical approaches to system of fractional partial differential equations. J Egypt Math Soc. 2017;25(2):141–150.
- Wang F, Sohail A, Tang Q, et al. Impact of fractals emerging from the fitness activities on the retail of smart wearable devices. Fractals. 2021.
- Sohail A, Yu Z, Arif R, et al. Piecewise differentiation of the fractional order CAR-T cells-SARS-2 virus model. Results Phys. 2022;33:105046.
- Mohyud-Din ST, Nawaz T, Azhar E, et al. Fractional sub-equation method to space–time fractional Calogero–Degasperis and potential Kadomtsev–Petviashvili equations. J Taibah Univ Sci. 2017;11(2):258–263.
- Ahmad S, Ullah A, Akgül A, et al. Numerical analysis of fractional human liver model in fuzzy environment. J Taibah Univ Sci. 2021;15(1):840–851.
- Maiti S, Shaw S, Shit GC. Fractional order model for thermochemical flow of blood with dufour and soret effects under magnetic and vibration environment. Colloids Surf B: Biointerfaces. 2021;197:111395.
- Jordan PM, Puri A. Digital signal propagation in dispersive media. J Appl Phys. 1999;85(3):1273–1282.
- Afrooz K, Abdipour A. Efficient method for time domain analysis of Lossy non uniform multiconductor transmission line driven by modulated signal using FDTD method. IEEE Trans Electromagn Compat. 2012;54(2):482–494.
- Ratner V, Zeevi YY. Denoising enhancing images on elastic manifolds. IEEE Trans Image Process. 2011;20(8):2099–2109.
- Zhang Y, Qian J, Papelis C, et al. Improved understanding of bimolecular reactions in deceptively simple homogeneous media: from laboratory experiments to Lagrangian quantification. Water Resour Res. 2014;50(2):1704–1715.
- Sun HG, Chen W, Li C, et al. Fractional differential models for anomalous diffusion. Phys A: Stat Mech Appl. 2010;389(14):2719–2724.
- Joubert SV, Greeff JC. Accuracy estimates for computer algebra systems initial value problem (IVP)solvers. S Afr J Sci. 2006;102(1):46–50.
- Nigmatullin RR. Realization of the generalized transfer equation in a medium with fractal geometry. Phys Status (B): Basic Res. 1986;133(1):425–430.
- Stefanski TP, Gulgowski J. Signal propagation in electromagnetic media described by fractional-order models. Commun Nonlinear Sci Numer Simul. 2020;82:105029.
- Osman MS. New analytical study of water waves described by coupled fractional variant Boussinesq equation in fluid dynamics. Pramana. 2019;93(2):1–10.
- Mohebbi A, Abbaszadeh M, Dehghan M. The meshless method of radial basis functions for the numerical solution of time fractional telegraph equation. Int J Numer Methods Heat. 2014;24(8):1636–1659.
- Hosseini VR, Shivanian E, Chen W. Local integration of 2-D fractional telegraph equation via local radial point interpolant approximation. Eur Phys J Plus. 2015;130(2):1–21.
- Shivanian E. Spectral meshless radial point interpolation method to two-dimensional fractional telegraph equation. Math Methods Appl Sci. 2016;39(7):1820–1835.
- Hashemi MS, Baleanu D. Numerical approximation of higher-order time-fractional telegraph equation by using a combination of a geometric approach and method of line. J Comput Phys. 2016;316:10–20.
- Ali A, Ali NHM. On skewed grid point iterative method for solving 2D hyperbolic telegraph fractional differential equation. Adv Differ Equ. 2019;2019(1):1–29.
- Hosseini VR, Shivanian E, Chen W. Local radial point interpolation (MLRPI) method for solving time fractional diffusion-wave equation with damping. J Comput Phys. 2016;312:307–332.
- Uddin M, Ali A. A localized transform-based meshless method for solving time fractional wave-diffusion equation. Eng Anal Bound Elem. 2018;92:108–113.
- Kumar A, Bhardwaj A, Kumar BR. A meshless local collocation method for time fractional diffusion wave equation. Comput Math Appl. 2019;78(6):1851–1861.
- Sohail A, Maqbool K, Ellahi R. Stability analysis for fractional-order partial differential equations by means of space spectral time Adams–Bashforth Moulton method. Numer Methods Partial Differ Equ. 2018;34(1):19–29.
- Ahmed HF. Numerical study on factional differential-algebraic systems by means of Chebyshev Pseudo spectral method. J Taibah Uni Sci. 2020;14(1):1023–1032.
- Ahmed HF. A numerical technique for solving multi-dimensional fractional optimal control problems. J Taibah Uni Sci. 2018;12(5):494–505.
- Delkhosh M, Parand K. A new computational method based on fractional Lagrange functions to solve multi-term fractional differential equations. Numer Algor. 2021;88(2):729–766.
- Zaky MA. An accurate spectral collocation method for nonlinear systems of fractional differential equations and related integral equations with nonsmooth solutions. Appl Numer Math. 2020;154:205–222.
- Ahmed HF, Melad MB. A new approach for solving fractional optimal control problems using shifted ultraspherical polynomials. Prog Fract Differ Appl. 2018;4(3):179–195.
- Doman BGS. The classical orthogonal polynomials. New Jersey: World Scientific; 2016.
- Ahmed HF, Moubarak MRA, Hashem WA. Gegenbauer spectral tau algorithm for solving fractional telegraph equation with convergence analysis. Pramana. 2021;95(2):1–16.
- Hashemi MS, Baleanu D. Numerical approximation of higher-order time-fractional telegraph equation by using a combination of a geometric approach and method of line. J Comput Phys. 2016;316:10–20.