Barhoumi, A., Ouerdiane, H., Rguigui, H.: Generalized Euler heat equation. Quant.Probab. White Noise Anal. 25, 99–116 (2010)
Barhoumi, A., Ouerdiane, H., Rguigui, H.: Stochastic Heat Equation on Algebra of Generalized Functions. Infinite Dimensional Analysis Quantum Probability and Related Topics, 15, No. 4 (2012), 1250026 (18 pages)
Da Silva, J.L., Erraoui, M., Ouerdiane, H.: Generalized fractional evolution equation. Fract. Calcul. Appl. Anal. 10(4), 375–398 (2007)
Ettaieb, A., Ouerdiane, H., Rguigui, H.: Powers of quantum white noise derivatives. Infin. Dimens. Anal. Quantum. Probab. Relat. Top. 17, 1450018 (2014) [16 pages]
Ettaieb, A., Khalifa, N. T., Ouerdiane, H., Rguigui, H.: Higher powers of analytical operators and associated -Lie algebras. Infin. Dimens. Anal. Quantum. Probab. Relat. Top. 19, 1650013 (2016) [20 pages]
Gannoun, R., Hachaichi, R., Ouerdiane, H., Rezgi, A.: Un théorème de dualité entre espace de fonction holomorphes à croissance exponentielle. J. Funct. Anal. 171, 1–14 (2000)
Gel’fand, I.M., Vilenkin, N.Y.: Generalized Functions. Academic Press, New York (1964)
Kilbas, A.A., Pierantozzi, T., Trujillo, J.J., Vázquez, L.: On the solution of fractional evolution equations. J. Phys. A 37(9), 3271–3283 (2004)
Kilbas, A.A., Srivastava, H.M., Trujillo, J.J.: Theory and Applications of Fractional Differential Equations. North-Holland (Elsevier) Series, 204 (2006)
Kuo, H.H.: White Noise Distribution Theory. CRC Press, Boca Raton (1996)
Obata, N.: White noise calculus and Fock spaces. Lecture notes in Mathematics 1577, Spriger-Verlag (1994)
Oldham, K.B., Spanier, J.: The Fractional Calculus. Academic Press, Cambridge (1974)
Ouerdiane, H., Rguigui, H.: QWN-conservation operator and associated wick differential equation. Commun. Stochast. Anal. 6(3), 437–450 (2012)
Piech, M.A.: Parabolic equations associated with the number operator. Trans. Amer. Math. Soc. 194, 213–222 (1974)
Rguigui, H.: Quantum Ornstein-Uhlenbeck semigroups. Quant. Stud. Math. Found. 2(2), 159–175 (2015)
Rguigui, H.: Characterization of the QWN-conservation operator. Chaos Solitons Fract. 84, 41–48 (2016)
Rguigui, H.: Fractional number operator and associated fractional evolution equations. Math. Phys. Anal. Geom. 21, 1–17 (2018)
Rguigui, H.: Characterization theorems for the quantum white noise gross Laplacian and applications. Complex Anal. Oper. Theory 12, 1637–1656 (2018)