Abstract
The present paper is devoted to the existence and uniqueness results of the generalized fractional Schrodinger’s equation
by using the generalized fixed point.
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References
Branciari, A.: A fixed point theorem for mappings satisfying a general contractive condition of integral type. Int. J. Math. Math. Sci. 29(9), 531–536 (2002)
Colombeau, J.F.: New Generalized Function and Multiplication of Distribution. North Holland, Amsterdam (1984)
Colombeau, J.F.: Elementary Introduction to New Generalized Function. North Holland, Amsterdam (1985)
Grosser, M., Kunzinger, M., Oberguggenberger, M., Steinbauer, R.: Geometric Theory of Generalized Functions with Applications to General Relativity, Mathematics and its Applications, vol. 537. Kluwer Academic Publishers, Dordrecht (2001)
Hermann, R., Oberguggenberger, M.: Ordinary differential equations and generalized functions. Non- linear Theory of Generalized Functions, pp. 85–98. Chapman & Hall, Boca Raton (1999)
Kilbas, A.A., Srivastava, H.M., Trujillo, J.J.: Theory and Applications of Fractional Differential Equations. Elsevier B.V, Netherlands (2006)
Oberguggenberger, M.: Multiplication of Distributions and Applications to Partial Differential Equations. Pitman Research Notes in Mathematics. Longman Scientific & Technical, Harlow (1992)
Marti, J.A.: Fixed points in algebras of generalized functions and applications, HAL Id: hal-01231272
Pazy, A.: Semigroups of Linear Operators and Applications to Partial Differential Equations. Applied Mathematical Sciences, vol. 44. Springer, New York (1983)
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Melliani, S., Elomari, M., Chadli, L.S. (2020). Solving Generalized Fractional Schrodinger’s Equation by Mean Generalized Fixed Point. In: Zerrik, E., Melliani, S., Castillo, O. (eds) Recent Advances in Modeling, Analysis and Systems Control: Theoretical Aspects and Applications. Studies in Systems, Decision and Control, vol 243. Springer, Cham. https://doi.org/10.1007/978-3-030-26149-8_7
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DOI: https://doi.org/10.1007/978-3-030-26149-8_7
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