Accesso libero

Nonlinear Random Differential Equations with n Sequential Fractional Derivatives

INFORMAZIONI SU QUESTO ARTICOLO

Cita

[1] S. Abbas, M. Benchohra, J.R. Greaf and J. Henderson, Implicit fractional differential and integral equations: Existence and Stability. De Gryter Series in Nonlinear Analysis and Applications, (2018)10.1515/9783110553819 Search in Google Scholar

[2] G.B. Airy, On the intensity of light in the neighbourhood of a caustic, Trans. Cambridge Philos. Soc., 6 (1838), 379-402 Search in Google Scholar

[3] A. Benzidane and Z. Dahmani, A class of nonlinear singular differential equations, Journal of Interdisciplinary Mathematics, 6 (2019), 991-100710.1080/09720502.2019.1698805 Search in Google Scholar

[4] S.P. Bhairat, D.B. Dhaigude, Existence of solutions of generalized fractional differential equation with nonlocal initial condition, Mathematica Bohemica, 2 (2019), 203-22010.21136/MB.2018.0135-17 Search in Google Scholar

[5] C. Burgos, J.C. Cortes, A. Debbouche, L. Villafuerte, R.J. Villanueva, Random fractional generalized Airy differential equations: A probabilistic analysis using mean square calculus, Applied Mathematics and Computation, 352 (2019), 15-2910.1016/j.amc.2019.01.039 Search in Google Scholar

[6] A. Chadha, R. Sakthivel, S.N. Bora, Solvability of control problem for fractional nonlinear differential inclusions with nonlocal conditions, Nonlinear Analysis: Modelling and Control, 4 (2019)10.15388/NA.2019.4.2 Search in Google Scholar

[7] Z. Dahmani, M.A. Abdelaoui and M. Houas, Polynomial solutions for a class of fractional differential equations and systems, Journal of Interdisciplinary Mathematics, 3 (2018), 669-68010.1080/09720502.2016.1142723 Search in Google Scholar

[8] M. Dahmani, A. Anber and Z. Dahmani, Speech movements on vocal tract : Fractional nonlinear dynamics, Journal of Information and Optimization Sciences, 6 (2019), 1307-131510.1080/02522667.2018.1499600 Search in Google Scholar

[9] Z. Dahmani, M.M. Belhamiti, Integral inequalities and differential equations via fractional calculus, IntechOpen, (2020)10.5772/intechopen.91140 Search in Google Scholar

[10] M.Di Paola, J. N. Reddy and E. Ruocco, On the applications of fractional calculus for the formulation of viscoelastic Reddy beam, Mathmatics, 5 (2020), 1365-137810.1007/s11012-020-01177-3 Search in Google Scholar

[11] A.M.A. El-Sayed, The mean square Riemann-Liouville stochastic fractional derivative and stochastic fractional order differential equation, Math. Sei. Res. J., 9 (2005), 142-150 Search in Google Scholar

[12] A.M.A. El-Sayed, On the stochastic fractional calculus operators, Journal of Fractional Calculus and Applications, 1 (2015), 101-109 Search in Google Scholar

[13] A.M.A. El- Sayed, F. Gaafar and M. El-Gendy, Continuous dependence of the solution of random fractional-order differential equation with nonlocal conditions, J. Fractional Differential Calculus, 1 (2017), 135-14910.7153/fdc-07-03 Search in Google Scholar

[14] F.M. Hafiz, The fractional calculus for some stochastic processes, Stoch. Anal. Appl, 22 (2004), 507-52310.1081/SAP-120028609 Search in Google Scholar

[15] F.M. Hafiz, A.M.A. El-Sayed, and M.A. El-Tawil, On a stochastic fractional calculus, Frac. Calc; Appl. Anal, 4 (2001), 81-90 Search in Google Scholar

[16] M. Houas and Z. Dahmani, New results for a system of two fractional differential equations involving n Caputo derivatives, Kragujevac Journal of Mathematics, 2 (2014), 283-30110.5937/KgJMath1402283H Search in Google Scholar

[17] D.C. Labora, R.R. López, M. Belmekki, Existence of solutions to nonlocal boundary value problems for fractional differential equations with impulses, Electronic Journal of Differential Equations, 15 (2020), 1-1610.58997/ejde.2020.15 Search in Google Scholar

[18] V. Lupulescu, S.K. Ntouyas, Random fractional differential equations, International Electronic Journal of Pure and Applied Mathematics, 2 (2012), 119-136 Search in Google Scholar

[19] V. Lupulescu, D. O’Regan, and G. Rahman, Existence results for random fractional differential equations, Opuscula Mathematica, 4 (2014), 813-82510.7494/OpMath.2014.34.4.813 Search in Google Scholar

[20] M.Z. Sarikaya, M. Bezziou and Z. Dahmani, New operators for fractional integration theory with some applications, Journal of Mathematical Extension, 1 (2018), 87-100 Search in Google Scholar

[21] I. Slimane and Z. Dahmani, A continuous and fractional derivative dependence of random differential equations with nonlocal conditions, Journal of Interdisciplinary Mathematics, Accepted (2021)10.1080/09720502.2020.1868661 Search in Google Scholar

[22] V.E. Tarasov, Mathematical Economics : Applications of fractional calculus,Mathematics, 5 (2020), 66010.3390/math8050660 Search in Google Scholar

[23] S. Tate and H.T. Dinde, Existence and uniqueness results for nonlinear implicit fractional differential equations with non local conditions, Palestine journal of Mathematics, 1 (2020), 212-219 Search in Google Scholar

[24] H. Vu, H.V. Ngo, On initial value problem of random fractional differential equation with impulses, Hacettepe Journal of Mathematics and Statistics, 1 (2020), 282-29310.15672/hujms.546989 Search in Google Scholar

[25] H. Yfrah, Z. Dahmani, M.Z. Sarikaya and F.A. Gujar, A sequential nonlinear random fractional differential equation: existence, uniqueness and new data dependence, Submitted. Search in Google Scholar

[26] H. Yfrah, Z. Dahmani, L. Tabharit and A. Abdelenbi, High order random fractional differential equations: existence, uniqueness and data dependence, Journal of Interdisciplinary of Mathematics, Accepted, (2020)10.22541/au.159031805.52880067 Search in Google Scholar

eISSN:
2351-8227
Lingua:
Inglese