Analysis of fractional integro causal evolution impulsive systems on time scales
Bakhtawar Pervaiz, Akbar Zada, Ioan‐Lucian Popa, Sana Ben Moussa, Hala H. Abd El‐Gawad
Abstract
In this article, we study the existence and uniqueness along with Ulam‐type stability of fractional integro causal evolution impulsive systems on time scales. To establish our main results, we use Picard operator along with abstract Grönwall inequality and Gröwall lemma. We constitute some assertions to remove difficulties. At the end, the results are demonstrated via the support of an example.
Topics & Concepts
MathematicsUniquenessLemma (botany)Operator (biology)Stability (learning theory)InequalityApplied mathematicsType (biology)Mathematical analysisComputer sciencePoaceaeChemistryBiochemistryBiologyEcologyTranscription factorGeneRepressorMachine learningNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsFunctional Equations Stability Results