[1] |
He, L.; Wang, Y.; Wei, Y.; Wang, M.; Hu, X.; Shi, Q., An adaptive central difference Kalman filter approach for state of charge estimation by fractional order model of lithium-ion battery, Energy, 244 (2022) · doi:10.1016/j.energy.2021.122627 |
[2] |
Ramakrishnan, B.; Cimen, M. E.; Akgul, A.; Li, C.; Rajagopal, K.; Kor, H., Chaotic oscillations in a fractional-order circuit with a josephson junction resonator and its synchronization using fuzzy sliding mode control, Mathematical Problems in Engineering, 2022 (2022) · doi:10.1155/2022/6744349 |
[3] |
Viviani, L.; Di Paola, M.; Royer-Carfagni, G., A fractional viscoelastic model for laminated glass sandwich plates under blast actions, International Journal of Mechanical Sciences, 222 (2022) · doi:10.1016/j.ijmecsci.2022.107204 |
[4] |
Zeb, A.; Kumar, P.; Erturk, V. S.; Sitthiwirattham, T., A new study on two different vaccinated fractional-order COVID-19 models via numerical algorithms, Journal of King Saud University Science, 34, 4 (2022) · doi:10.1016/j.jksus.2022.101914 |
[5] |
Arfaoui, H.; Ben Makhlouf, A., Some results for a class of two-dimensional fractional hyperbolic differential systems with time delay, Journal of Applied Mathematics and Computing, 68, 4, 2389-2405 (2022) · Zbl 1509.35337 · doi:10.1007/s12190-021-01625-7 |
[6] |
Ben Makhlouf, A.; Boucenna, D., Ulam-Hyers-Rassias Mittag-Leffler stability for the Darboux problem for partial fractional differential equations, Rocky Mountain Journal of Mathematics, 51, 5, 1541-1551 (2021) · Zbl 1490.35035 · doi:10.1216/rmj.2021.51.1541 |
[7] |
Boutiara, A., A coupled system of nonlinear Langevin Fractional q-Difference equations associated with two different fractional orders in Banach space, Kragujevac Journal of Mathematics, 48, 555-575 (2023) |
[8] |
Derbazi, C., Solvability for a class of nonlinear Caputo-Hadamard fractional differential equations with p-Laplacian operator in Banach spaces, Facta Universitatis - Series: Mathematics and Informatics, 18, 693-711 (2020) · Zbl 1488.34341 · doi:10.22190/fumi2003693d |
[9] |
Derbazi, C., Nonlinear sequential Caputo and Caputo-Hadamard fractional differential equations with Dirichlet Boundary conditions in Banach spaces, Kragujevac Journal of Mathematics, 46, 6, 841-855 (2022) · Zbl 1524.34016 · doi:10.46793/kgjmat2206.841d |
[10] |
Jarad, F.; Abdeljawad, T.; Alzabut, J., Generalized fractional derivatives generated by a class of local proportional derivatives, The European Physical Journal- Special Topics, 226, 16-18, 3457-3471 (2017) · doi:10.1140/epjst/e2018-00021-7 |
[11] |
Jarad, F.; Alqudah, M.; Abdeljawad, T., On more general forms of proportional fractional operators, Open Mathematics, 18, 1, 167-176 (2020) · Zbl 1440.26007 · doi:10.1515/math-2020-0014 |
[12] |
Jarad, F.; Abdeljawad, T.; Rashid, S.; Hammouch, Z., More properties of the proportional fractional integrals and derivatives of a function with respect to another function, Advances in Differential Equations, 2020, 1, 303 (2020) · Zbl 1485.26005 · doi:10.1186/s13662-020-02767-x |
[13] |
Agarwal, R.; Hristova, S., Impulsive memristive cohen-grossberg neural networks modeled by short term generalized proportional Caputo fractional derivative and synchronization analysis, Mathematics, 10, 13, 2355 (2022) · doi:10.3390/math10132355 |
[14] |
Boutiara, A.; Kaabar, M. K.; Siri, Z.; Samei, M. E.; Yue, X. G., Investigation of the generalized proportional Langevin and sturm-liouville fractional differential equations via variable coefficients and antiperiodic boundary conditions with a control theory application arising from complex networks, Mathematical Problems in Engineering, 2022 (2022) · doi:10.1155/2022/7018170 |
[15] |
Ali, R.; Akgül, A.; Asjad, M. I., Power law memory of natural convection flow of hybrid nanofluids with constant proportional Caputo fractional derivative due to pressure gradient, Pramana, 94, 1, 131 (2020) · doi:10.1007/s12043-020-01997-8 |
[16] |
Alzahrani, A. K.; Razzaq, O. A.; Khan, N. A.; Alshomrani, A. S.; Ullah, M. Z., Transmissibility of epidemic diseases caused by delay with local proportional fractional derivative, Advances in Difference Equations, 2021, 1, 292 (2021) · Zbl 1494.92122 · doi:10.1186/s13662-021-03435-4 |
[17] |
Moaaz, O.; Abouelregal, A. E.; Alesemi, M., Moore-gibson-thompson photothermal model with a proportional Caputo fractional derivative for a rotating magneto-thermoelastic semiconducting material, Mathematics, 10, 17, 3087 (2022) · doi:10.3390/math10173087 |
[18] |
Ben Makhlouf, A.; Benjemaa, M.; Boucenna, J.; Hammami, M. A., Darboux Problem for proportional partial fractional differential equations, Chaos, Solitons & Fractals, 166 (2023) |
[19] |
Abbas, S.; Benchohra, M., Darboux problem for perturbed partial differential equations of fractional order with finite delay, Nonlinear Analysis: Hybrid Systems, 3, 4, 597-604 (2009) · Zbl 1219.35345 · doi:10.1016/j.nahs.2009.05.001 |
[20] |
Abbas, S.; Benchohra, M., Upper and lower solutions method for impulsive partial hyperbolic differential equations with fractional order, Nonlinear Analysis: Hybrid Systems, 4, 3, 406-413 (2010) · Zbl 1202.35340 · doi:10.1016/j.nahs.2009.10.004 |
[21] |
Vityuk, A. N.; Golushkov, A. V., Darboux problem for a differential equation with fractional derivative, Nonlinear Oscillations, 8, 4, 450-462 (2005) · Zbl 1111.35146 · doi:10.1007/s11072-006-0013-6 |
[22] |
Vityuk, A. N.; Mikhailenko, A. V., On one class of differential equations of fractional order, Nonlinear Oscillations, 11, 3, 307-319 (2008) · Zbl 1277.26013 · doi:10.1007/s11072-009-0032-1 |