Devaraj Vivek (2025) EXISTENCE RESULTS OF HILFER FRACTIONAL STOCHASTIC PANTOGRAPH DIFFERENTIAL EQUATIONS WITH NON-INSTANTANEOUS IMPULSES VIA CONDENSING OPERATOR THEORY. EXISTENCE RESULTS OF HILFER FRACTIONAL STOCHASTIC PANTOGRAPH DIFFERENTIAL EQUATIONS WITH NON-INSTANTANEOUS IMPULSES VIA CONDENSING OPERATOR THEORY, 16 (1). pp. 3629-3648. ISSN 2156-907X
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EXISTENCE+RESULTS+OF+HILFER+FRACTIONAL+STOCHASTIC+PANTOGRAPH+DIFFERENTIAL+EQUATIONS+WITH+NON-INSTANTANEOUS+IMPULSES+VIA+CONDENSING+OPERATOR+THEORY.pdf - Published Version
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Abstract
In this study, we establish the existence of mild solutions for frac
tional stochastic pantograph differential equations incorporating the Hilfer
fractional derivative and non-instantaneous impulses. The analysis is con
ducted using tools from fractional calculus, semigroup theory, and stochastic
analysis under appropriate conditions. Additionally, we employ condensing op
erator theory, the Hausdorff measure of noncompactness, and Sadovskii’s fixed
point theorem to derive our existence results. A detailed example, supported
by graphical analysis, is presented to illustrate the practical applicability of
the theoretical findings
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Fractional stochastic differential equations, Hilfer fractional derivative, pantograph equation, non-instantaneous impulses, Hausdorff mea sure of noncompactness, condensing operator theory |
| Divisions: | PSG College of Arts and Science > Department of Mathematics |
| Depositing User: | Dr. B Sivakumar |
| Date Deposited: | 03 Nov 2025 08:17 |
| Last Modified: | 03 Nov 2025 08:17 |
| URI: | https://ir.psgcas.ac.in/id/eprint/2506 |
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