Discontinuity, Nonlinearity, and Complexity
Some Results and Analysis of Nonlocal Special Random Impulsive Fractional Differential Equations
Discontinuity, Nonlinearity, and Complexity 12(2) (2023) 299312  DOI:10.5890/DNC.2023.06.006
$^{1}$ Ramanujan Centre for Higher Mathematics, Alagappa University, Karaikudi630 004, India
$^{2}$ Department of Mathematics, Alagappa University, Karaikudi630 004, India
$^{3}$ Department of Mathematics, Deva Matha College, Kuravilangad, Kerala
$^{4}$ Department of Mathematics, UNNEFACENA, Corrientes 3400, Argentina
$^{5}$ Department of Mathematics, FRREUTN, Resistencia, Chaco, Argentina
$^{6}$ Theoretical and Applied Data Integration Innovations Group,
Department of Statistics, Faculty of Science,
Ramkhamhaeng University, Bangkok 10240, Thailand
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Abstract
The aim of the paper is to present an analysis of special random impulsive fractional differential equations involving Fredholm and Volterra integrals. This paper is mainly focused to the existence, uniqueness and stability of special random impulsive fractional differential equations with local initial conditions and nonlocal initial conditions separately. Such an approach enabled the generalisation of equations with local initial conditions and also helps in obtaining more practical results. To test the effectiveness of our results, we provide examples.
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