Kumar, Nitin; Mehra, Mani Legendre wavelet method for solving variable-order nonlinear fractional optimal control problems with variable-order fractional Bolza cost. (English) Zbl 07889137 Asian J. Control 25, No. 3, 2122-2138 (2023). MSC: 93-XX × Cite Format Result Cite Review PDF 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 1538.65182 Math. Methods Appl. Sci. 46, No. 7, 8208-8222 (2023). MSC: 65L05 34A08 34C60 92D30 × Cite Format Result Cite Review PDF Full Text: DOI
Singh, Abhishek Kumar; Mehra, Mani; Gulyani, Samarth Learning parameters of a system of variable order fractional differential equations. (English) Zbl 07776993 Numer. Methods Partial Differ. Equations 39, No. 3, 1962-1976 (2023). MSC: 65-XX 35-XX × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Mehandiratta, Vaibhav; Mehra, Mani; Leugering, Gunter Optimal control problems driven by time-fractional diffusion equations on metric graphs: optimality system and finite difference approximation. (English) Zbl 1476.35312 SIAM J. Control Optim. 59, No. 6, 4216-4242 (2021). MSC: 35R11 35Q93 35R02 26A33 49J20 49K20 93C20 × Cite Format Result Cite Review PDF Full Text: DOI
Mehandiratta, Vaibhav; Mehra, Mani; Leugering, Günter Existence results and stability analysis for a nonlinear fractional boundary value problem on a circular ring with an attached edge: a study of fractional calculus on metric graph. (English) Zbl 1465.34010 Netw. Heterog. Media 16, No. 2, 155-185 (2021). MSC: 34A08 34B15 26A33 34D20 × Cite Format Result Cite Review PDF Full Text: DOI