Kumar, Saurabh; Gupta, Vikas Collocation method with Lagrange polynomials for variable-order time-fractional advection-diffusion problems. (English) Zbl 07823736 Math. Methods Appl. Sci. 47, No. 2, 1113-1131 (2024). MSC: 35R11 65M12 65N35 PDFBibTeX XMLCite \textit{S. Kumar} and \textit{V. Gupta}, Math. Methods Appl. Sci. 47, No. 2, 1113--1131 (2024; Zbl 07823736) Full Text: DOI
Mohan Raja, Marimuthu; Vijayakumar, Velusamy; Veluvolu, Kalyana Chakravarthy An analysis concerning to the existence of mild solution for Hilfer fractional neutral evolution system on infinite interval. (English) Zbl 07816057 Math. Methods Appl. Sci. 46, No. 18, 19277-19288 (2023). MSC: 34A08 34B40 34K40 47H10 47D60 PDFBibTeX XMLCite \textit{M. Mohan Raja} et al., Math. Methods Appl. Sci. 46, No. 18, 19277--19288 (2023; Zbl 07816057) Full Text: DOI
Safari, Farzaneh Approximation of three-dimensional nonlinear wave equations by fundamental solutions and weighted residuals process. (English) Zbl 07816054 Math. Methods Appl. Sci. 46, No. 18, 19229-19242 (2023). MSC: 26A33 35M10 41A10 65M70 65L60 PDFBibTeX XMLCite \textit{F. Safari}, Math. Methods Appl. Sci. 46, No. 18, 19229--19242 (2023; Zbl 07816054) Full Text: DOI
Zerari, Amina; Odibat, Zaid; Shawagfeh, Nabil On the formulation of a predictor-corrector method to model IVPs with variable-order Liouville-Caputo-type derivatives. (English) Zbl 07816047 Math. Methods Appl. Sci. 46, No. 18, 19100-19114 (2023). MSC: 26A33 65L05 65L20 65R20 PDFBibTeX XMLCite \textit{A. Zerari} et al., Math. Methods Appl. Sci. 46, No. 18, 19100--19114 (2023; Zbl 07816047) Full Text: DOI
Pervaiz, Bakhtawar; Zada, Akbar; Popa, Ioan-Lucian; Ben Moussa, Sana; El-Gawad, Hala H. Abd Analysis of fractional integro causal evolution impulsive systems on time scales. (English) Zbl 07793768 Math. Methods Appl. Sci. 46, No. 14, 15226-15243 (2023). MSC: 34N05 34G20 35B35 45J05 PDFBibTeX XMLCite \textit{B. Pervaiz} et al., Math. Methods Appl. Sci. 46, No. 14, 15226--15243 (2023; Zbl 07793768) Full Text: DOI
Bai, Zhiye; Li, Shenggang; Liu, Heng Composite observer-based adaptive event-triggered backstepping control for fractional-order nonlinear systems with input constraints. (English) Zbl 07789789 Math. Methods Appl. Sci. 46, No. 16, 16415-16433 (2023). MSC: 93C40 93C65 93B53 93C10 93C15 34A08 PDFBibTeX XMLCite \textit{Z. Bai} et al., Math. Methods Appl. Sci. 46, No. 16, 16415--16433 (2023; Zbl 07789789) Full Text: DOI
Singh, Abhishek Kumar; Mehra, Mani; Gulyani, Samarth A modified variable-order fractional SIR model to predict the spread of COVID-19 in India. (English) Zbl 07782477 Math. Methods Appl. Sci. 46, No. 7, 8208-8222 (2023). MSC: 65L05 34A08 PDFBibTeX XMLCite \textit{A. K. Singh} et al., Math. Methods Appl. Sci. 46, No. 7, 8208--8222 (2023; Zbl 07782477) Full Text: DOI
Aslam, Muhammad; Gómez-Aguilar, José Francisco; ur-Rahman, Ghaus; Murtaza, Rashid Existence, uniqueness, and Hyers-Ulam stability of solutions to nonlinear \(p\)-Laplacian singular delay fractional boundary value problems. (English) Zbl 07782476 Math. Methods Appl. Sci. 46, No. 7, 8193-8207 (2023). MSC: 26A33 45N05 PDFBibTeX XMLCite \textit{M. Aslam} et al., Math. Methods Appl. Sci. 46, No. 7, 8193--8207 (2023; Zbl 07782476) Full Text: DOI
Madhura, K. R.; Atiwali, Babitha; Iyengar, S. S. Influence of nanoparticle shapes on natural convection flow with heat and mass transfer rates of nanofluids with fractional derivative. (English) Zbl 07782469 Math. Methods Appl. Sci. 46, No. 7, 8089-8105 (2023). MSC: 35Q30 35Q35 PDFBibTeX XMLCite \textit{K. R. Madhura} et al., Math. Methods Appl. Sci. 46, No. 7, 8089--8105 (2023; Zbl 07782469) Full Text: DOI
Liu, Huan; Zheng, Xiangcheng Mathematical analysis and efficient finite element approximation for variable-order time-fractional reaction-diffusion equation with nonsingular kernel. (English) Zbl 07782468 Math. Methods Appl. Sci. 46, No. 7, 8074-8088 (2023). MSC: 35R11 35K57 35R11 26A33 65M60 PDFBibTeX XMLCite \textit{H. Liu} and \textit{X. Zheng}, Math. Methods Appl. Sci. 46, No. 7, 8074--8088 (2023; Zbl 07782468) Full Text: DOI
Slimane, Ibrahim; Dahmani, Zoubir; Nieto, Juan J.; Abdeljawad, Thabet Existence and stability for a nonlinear hybrid differential equation of fractional order via regular Mittag-Leffler kernel. (English) Zbl 07782466 Math. Methods Appl. Sci. 46, No. 7, 8043-8053 (2023). MSC: 34A38 32A65 26A33 34K20 PDFBibTeX XMLCite \textit{I. Slimane} et al., Math. Methods Appl. Sci. 46, No. 7, 8043--8053 (2023; Zbl 07782466) Full Text: DOI
Abd Elaziz El-Sayed, Adel; Boulaaras, Salah; Sweilam, N. H. Numerical solution of the fractional-order logistic equation via the first-kind Dickson polynomials and spectral tau method. (English) Zbl 07782464 Math. Methods Appl. Sci. 46, No. 7, 8004-8017 (2023). MSC: 65L70 41A25 41A30 PDFBibTeX XMLCite \textit{A. Abd Elaziz El-Sayed} et al., Math. Methods Appl. Sci. 46, No. 7, 8004--8017 (2023; Zbl 07782464) Full Text: DOI
Istafa, Ghafirlia; Rehman, Mujeeb ur Numerical solutions of Hadamard fractional differential equations by generalized Legendre functions. (English) Zbl 07782390 Math. Methods Appl. Sci. 46, No. 6, 6821-6842 (2023). MSC: 65L05 34A08 PDFBibTeX XMLCite \textit{G. Istafa} and \textit{M. u. Rehman}, Math. Methods Appl. Sci. 46, No. 6, 6821--6842 (2023; Zbl 07782390) Full Text: DOI
Hadhoud, Adel R.; Rageh, Abdulqawi A. M.; Agarwal, Praveen Numerical method for solving two-dimensional of the space and space-time fractional coupled reaction-diffusion equations. (English) Zbl 07782152 Math. Methods Appl. Sci. 46, No. 5, 6054-6076 (2023). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{A. R. Hadhoud} et al., Math. Methods Appl. Sci. 46, No. 5, 6054--6076 (2023; Zbl 07782152) Full Text: DOI
Ali, Mohd Farman; Katoch, Nisha Heat-conduction in a semi-infinite fractal bar using advanced Yang-Fourier transforms. (English) Zbl 07782142 Math. Methods Appl. Sci. 46, No. 5, 5893-5899 (2023). MSC: 80A19 33E20 44A20 42A38 32A17 PDFBibTeX XMLCite \textit{M. F. Ali} and \textit{N. Katoch}, Math. Methods Appl. Sci. 46, No. 5, 5893--5899 (2023; Zbl 07782142) Full Text: DOI
AL-Denari, Rasha B.; Ahmed, Engy. A.; Tharwat, Mohammed M. The time-fractional generalized Z-K equation: analysis of Lie group, similarity reduction, conservation laws, and explicit solutions. (English) Zbl 07781809 Math. Methods Appl. Sci. 46, No. 4, 4475-4493 (2023). MSC: 35R11 35B06 70H33 70S10 76M60 PDFBibTeX XMLCite \textit{R. B. AL-Denari} et al., Math. Methods Appl. Sci. 46, No. 4, 4475--4493 (2023; Zbl 07781809) Full Text: DOI
Antonio Taneco-Hernández, Marco; Gómez-Aguilar, José Francisco; Cuahutenango-Barro, Bricio Wave process in viscoelastic media using fractional derivatives with nonsingular kernels. (English) Zbl 07781805 Math. Methods Appl. Sci. 46, No. 4, 4413-4436 (2023). MSC: 74S40 26A33 33E12 PDFBibTeX XMLCite \textit{M. Antonio Taneco-Hernández} et al., Math. Methods Appl. Sci. 46, No. 4, 4413--4436 (2023; Zbl 07781805) Full Text: DOI
Du, Feifei; Lu, Jun-Guo Some remarks on the Gronwall integral inequality. (English) Zbl 07781335 Math. Methods Appl. Sci. 46, No. 2, 2997-3003 (2023). MSC: 26D15 26A33 PDFBibTeX XMLCite \textit{F. Du} and \textit{J.-G. Lu}, Math. Methods Appl. Sci. 46, No. 2, 2997--3003 (2023; Zbl 07781335) Full Text: DOI
Hassan, Gamal F.; Abdel-Salam, Emad A-B.; Rashwan, Rashwan A. Approximation of functions by complex conformable derivative bases in Fréchet spaces. (English) Zbl 07781318 Math. Methods Appl. Sci. 46, No. 2, 2636-2650 (2023). MSC: 30C10 26A33 PDFBibTeX XMLCite \textit{G. F. Hassan} et al., Math. Methods Appl. Sci. 46, No. 2, 2636--2650 (2023; Zbl 07781318) Full Text: DOI
Alzabut, Jehad; Selvam, A. George Maria; Vignesh, Dhakshinamoorthy; Etemad, Sina; Rezapour, Shahram Stability analysis of tempered fractional nonlinear Mathieu type equation model of an ion motion with octopole-only imperfections. (English) Zbl 07780283 Math. Methods Appl. Sci. 46, No. 8, 9542-9554 (2023). MSC: 34C60 78A35 34A08 34A12 34D10 47H10 34C15 PDFBibTeX XMLCite \textit{J. Alzabut} et al., Math. Methods Appl. Sci. 46, No. 8, 9542--9554 (2023; Zbl 07780283) Full Text: DOI
Alsaedi, Ramzi; Ghanmi, Abdeljabbar Variational approach for the Kirchhoff problem involving the \(p\)-Laplace operator and the \(\psi\)-Hilfer derivative. (English) Zbl 07780267 Math. Methods Appl. Sci. 46, No. 8, 9286-9297 (2023). MSC: 35J62 35J92 35A01 35A15 PDFBibTeX XMLCite \textit{R. Alsaedi} and \textit{A. Ghanmi}, Math. Methods Appl. Sci. 46, No. 8, 9286--9297 (2023; Zbl 07780267) Full Text: DOI
Emin, Sedef; Fernandez, Arran Incommensurate multi-term fractional differential equations with variable coefficients with respect to functions. (English) Zbl 1527.34014 Math. Methods Appl. Sci. 46, No. 8, 8618-8631 (2023). MSC: 34A08 26A33 47B33 PDFBibTeX XMLCite \textit{S. Emin} and \textit{A. Fernandez}, Math. Methods Appl. Sci. 46, No. 8, 8618--8631 (2023; Zbl 1527.34014) Full Text: DOI
Zerari, Amina; Odibat, Zaid; Shawagfeh, Nabil Numerical schemes for variable exponent fractional-type integral equations. (English) Zbl 07812791 Math. Methods Appl. Sci. 45, No. 17, 11601-11613 (2022). MSC: 26A33 47G10 65D05 65D30 65R20 PDFBibTeX XMLCite \textit{A. Zerari} et al., Math. Methods Appl. Sci. 45, No. 17, 11601--11613 (2022; Zbl 07812791) Full Text: DOI
Mali, Ashwini D.; Kucche, Kishor D.; Fernandez, Arran; Fahad, Hafiz Muhammad On tempered fractional calculus with respect to functions and the associated fractional differential equations. (English) Zbl 07812767 Math. Methods Appl. Sci. 45, No. 17, 11134-11157 (2022). MSC: 26A33 34A12 34A08 PDFBibTeX XMLCite \textit{A. D. Mali} et al., Math. Methods Appl. Sci. 45, No. 17, 11134--11157 (2022; Zbl 07812767) Full Text: DOI arXiv
Slimani, Kamel; Saadi, Chaima; Lakhal, Hakim Existence results for convection-reaction fractional problem involving the distributional Riesz derivative. (English) Zbl 07781427 Math. Methods Appl. Sci. 45, No. 16, 10247-10255 (2022). MSC: 35J60 35R11 35A01 PDFBibTeX XMLCite \textit{K. Slimani} et al., Math. Methods Appl. Sci. 45, No. 16, 10247--10255 (2022; Zbl 07781427) Full Text: DOI
Idrees, Shafaq; Saeed, Umer Generalized sine-cosine wavelet method for Caputo-Hadamard fractional differential equations. (English) Zbl 07781393 Math. Methods Appl. Sci. 45, No. 16, 9602-9621 (2022). MSC: 65N35 65M70 PDFBibTeX XMLCite \textit{S. Idrees} and \textit{U. Saeed}, Math. Methods Appl. Sci. 45, No. 16, 9602--9621 (2022; Zbl 07781393) Full Text: DOI
Roul, Pradip Design and analysis of a high order computational technique for time-fractional Black-Scholes model describing option pricing. (English) Zbl 1527.91180 Math. Methods Appl. Sci. 45, No. 9, 5592-5611 (2022). MSC: 91G60 65M06 65M12 65M15 91G20 PDFBibTeX XMLCite \textit{P. Roul}, Math. Methods Appl. Sci. 45, No. 9, 5592--5611 (2022; Zbl 1527.91180) Full Text: DOI
Develi, Faruk Existence and Ulam-Hyers stability results for nonlinear fractional Langevin equation with modified argument. (English) Zbl 07780601 Math. Methods Appl. Sci. 45, No. 7, 3417-3425 (2022). MSC: 34K37 34K27 47H10 PDFBibTeX XMLCite \textit{F. Develi}, Math. Methods Appl. Sci. 45, No. 7, 3417--3425 (2022; Zbl 07780601) Full Text: DOI
Kumar Singh, Abhishek; Mehra, Mani; Mehandiratta, Vaibhav Numerical solution of variable-order stochastic fractional integro-differential equation with a collocation method based on Müntz-Legendre polynomial. (English) Zbl 1527.65064 Math. Methods Appl. Sci. 45, No. 13, 8125-8141 (2022). MSC: 65L60 41A10 60H35 65C30 PDFBibTeX XMLCite \textit{A. Kumar Singh} et al., Math. Methods Appl. Sci. 45, No. 13, 8125--8141 (2022; Zbl 1527.65064) Full Text: DOI
Torkaman, Soraya; Heydari, Mohammad; Barid Loghmani, Ghasem Piecewise barycentric interpolating functions for the numerical solution of Volterra integro-differential equations. (English) Zbl 07766890 Math. Methods Appl. Sci. 45, No. 10, 6030-6061 (2022). MSC: 65R20 45J05 45D05 PDFBibTeX XMLCite \textit{S. Torkaman} et al., Math. Methods Appl. Sci. 45, No. 10, 6030--6061 (2022; Zbl 07766890) Full Text: DOI
Cabada, Alberto; Dimitrijevic, Sladjana; Tomovic, Tatjana; Aleksic, Suzana The existence of a positive solution for nonlinear fractional differential equations with integral boundary value conditions. (English) Zbl 1362.34011 Math. Methods Appl. Sci. 40, No. 6, 1880-1891 (2017). MSC: 34A08 34B05 34B15 34B10 34B27 47N20 PDFBibTeX XMLCite \textit{A. Cabada} et al., Math. Methods Appl. Sci. 40, No. 6, 1880--1891 (2017; Zbl 1362.34011) Full Text: DOI
Dehghan, Mehdi; Safarpoor, Mansour The dual reciprocity boundary integral equation technique to solve a class of the linear and nonlinear fractional partial differential equations. (English) Zbl 1342.65224 Math. Methods Appl. Sci. 39, No. 10, 2461-2476 (2016). MSC: 65N38 35R11 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Safarpoor}, Math. Methods Appl. Sci. 39, No. 10, 2461--2476 (2016; Zbl 1342.65224) Full Text: DOI
Shivanian, Elyas Spectral meshless radial point interpolation (SMRPI) method to two-dimensional fractional telegraph equation. (English) Zbl 1339.65195 Math. Methods Appl. Sci. 39, No. 7, 1820-1835 (2016). MSC: 65M70 35L20 35R11 65M06 65M12 PDFBibTeX XMLCite \textit{E. Shivanian}, Math. Methods Appl. Sci. 39, No. 7, 1820--1835 (2016; Zbl 1339.65195) Full Text: DOI
Zhi, Ertao; Liu, Xiping; Li, Fanfan Nonlocal boundary value problem for fractional differential equations with \(p\)-Laplacian. (English) Zbl 1315.34017 Math. Methods Appl. Sci. 37, No. 17, 2651-2662 (2014). MSC: 34A08 34B15 34B10 47N20 34B18 PDFBibTeX XMLCite \textit{E. Zhi} et al., Math. Methods Appl. Sci. 37, No. 17, 2651--2662 (2014; Zbl 1315.34017) Full Text: DOI
Dehghan, Mehdi; Salehi, Rezvan A method based on meshless approach for the numerical solution of the two-space dimensional hyperbolic telegraph equation. (English) Zbl 1250.35015 Math. Methods Appl. Sci. 35, No. 10, 1220-1233 (2012). MSC: 35A35 65M22 65M70 35L20 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{R. Salehi}, Math. Methods Appl. Sci. 35, No. 10, 1220--1233 (2012; Zbl 1250.35015) Full Text: DOI