Analysis of stochastic pantograph differential equations with generalized derivative of arbitrary order
In this paper, we mainly study the existence of analytical solutions of stochastic pantograph differential equations. The standard Picard’s iteration method is used to obtain the theory.
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| Format: | Article |
| Language: | English |
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EJAAM
2022-12-01
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| Series: | E-Journal of Analysis and Applied Mathematics |
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| Online Access: | https://ejaam.org/articles/2022/10.2478-ejaam-2022-0003.pdf |
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| author | Devaraj Vivek Elsayed M. Elsayed Kuppusamy Kanagarajan |
| author_facet | Devaraj Vivek Elsayed M. Elsayed Kuppusamy Kanagarajan |
| author_sort | Devaraj Vivek |
| collection | DOAJ |
| description | In this paper, we mainly study the existence of analytical solutions of stochastic pantograph differential equations. The standard Picard’s iteration method is used to obtain the theory. |
| format | Article |
| id | doaj-art-8bd532fc68e8444ab7cd3e38ea8aee01 |
| institution | Kabale University |
| issn | 2544-9990 |
| language | English |
| publishDate | 2022-12-01 |
| publisher | EJAAM |
| record_format | Article |
| series | E-Journal of Analysis and Applied Mathematics |
| spelling | doaj-art-8bd532fc68e8444ab7cd3e38ea8aee012025-02-08T18:35:22ZengEJAAME-Journal of Analysis and Applied Mathematics2544-99902022-12-01202210.2478/ejaam-2022-0003Analysis of stochastic pantograph differential equations with generalized derivative of arbitrary orderDevaraj Vivek0Elsayed M. Elsayed1Kuppusamy Kanagarajan2Department of Mathematics, PSG College of Arts & Science, Coimbatore-641 014, IndiaDepartment of Mathematics, Faculty of Science,King Abdulaziz University, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641 020, IndiaIn this paper, we mainly study the existence of analytical solutions of stochastic pantograph differential equations. The standard Picard’s iteration method is used to obtain the theory.https://ejaam.org/articles/2022/10.2478-ejaam-2022-0003.pdfpantograph differential equationψ-type fractional derivativeexistencepicard’s iteration method |
| spellingShingle | Devaraj Vivek Elsayed M. Elsayed Kuppusamy Kanagarajan Analysis of stochastic pantograph differential equations with generalized derivative of arbitrary order E-Journal of Analysis and Applied Mathematics pantograph differential equation ψ-type fractional derivative existence picard’s iteration method |
| title | Analysis of stochastic pantograph differential equations with generalized derivative of arbitrary order |
| title_full | Analysis of stochastic pantograph differential equations with generalized derivative of arbitrary order |
| title_fullStr | Analysis of stochastic pantograph differential equations with generalized derivative of arbitrary order |
| title_full_unstemmed | Analysis of stochastic pantograph differential equations with generalized derivative of arbitrary order |
| title_short | Analysis of stochastic pantograph differential equations with generalized derivative of arbitrary order |
| title_sort | analysis of stochastic pantograph differential equations with generalized derivative of arbitrary order |
| topic | pantograph differential equation ψ-type fractional derivative existence picard’s iteration method |
| url | https://ejaam.org/articles/2022/10.2478-ejaam-2022-0003.pdf |
| work_keys_str_mv | AT devarajvivek analysisofstochasticpantographdifferentialequationswithgeneralizedderivativeofarbitraryorder AT elsayedmelsayed analysisofstochasticpantographdifferentialequationswithgeneralizedderivativeofarbitraryorder AT kuppusamykanagarajan analysisofstochasticpantographdifferentialequationswithgeneralizedderivativeofarbitraryorder |