Geodesic
Ulam Stabilities for Partial Impulsive Fractional Differential Equations
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 53 (2014) no. 1, pp. 5-17.

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In this paper we investigate the existence of solutions for the initial value problems (IVP for short), for a class of implicit impulsive hyperbolic differential equations by using the lower and upper solutions method combined with Schauder’s fixed point theorem.
Classification : 26A33, 34A37, 34G20
Keywords: fractional differential equations; impulse; Caputo fractional order derivative; left-sided mixed Riemann–Liouville integral; Darboux problem; Ulam stability 
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Abbas, Saïd; Benchohra, Mouffak; Nieto, Juan J. Ulam Stabilities for Partial Impulsive Fractional Differential Equations. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 53 (2014) no. 1, pp. 5-17. http://geodesic.mathdoc.fr/item/AUPO_2014__53_1_a0/