Analysis of the Family of Integral Equation Involving Incomplete Types of I and (i)over-Bar
| dc.contributor.author | Jangid, Kamlesh | |
| dc.contributor.author | Kumawat, Shyamsunder | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Suthar, D. L. | |
| dc.contributor.author | Purohit, Sunil Dutt | |
| dc.contributor.author | Bhatter, Sanjay | |
| dc.date.accessioned | 2023-11-24T11:45:06Z | |
| dc.date.accessioned | 2025-09-18T15:43:24Z | |
| dc.date.available | 2023-11-24T11:45:06Z | |
| dc.date.available | 2025-09-18T15:43:24Z | |
| dc.date.issued | 2023 | |
| dc.description | Suthar, Dl/0000-0001-9978-2177; , Shyamsunder/0000-0002-8020-0541 | en_US |
| dc.description.abstract | The present article introduces and studies the Fredholm-type integral equation with an incomplete I-function (I/F) and an incomplete (I) over bar -function ((I/F) over bar) in its kernel. First, using fractional calculus and the Mellin transform principle, we solve an integral problem involving IIF. The idea of the Mellin transform and fractional calculus is then used to analyse an integral equation using the incomplete (I) over bar -function. This is followed by the discovery and investigation of several important exceptional cases. This article's general discoveries may yield new integral equations and solutions. The desired outcomes seem to be very helpful in resolving many real-world problems whose solutions represent different physical phenomena. And also, findings help solve introdifferential, fractional differential, and extended integral equation problems. | en_US |
| dc.description.sponsorship | CSIR, MHRD, Govt. of India, New Delhi [09/843(0006)/2020-EMR-I] | en_US |
| dc.description.sponsorship | The authors express their sincere thanks to the editor and reviewers for their fruitful comments and suggestions that improved the quality of the manuscript. The third author is grateful to the CSIR, MHRD, Govt. of India, New Delhi for funding through grant number (09/843(0006)/2020-EMR-I). KJ and SB made significant contributions to the creation and contributed to design of the work. S handled the analysis. SDP and DB conceptualized and double-checked the Analysis part. DLS was involved in the manuscript's drafting or critical revision for important intellectual content. All authors read and approved the final version of manuscript. | en_US |
| dc.identifier.citation | Bhatter, Sanjay...et.al. (2023). "Analysis of the family of integral equation involving incomplete types of <i>Ii> and (<i>Ii>)over-bar-functions", Applied Mathematics In Science And Engineering, Vol.31, No.1 | en_US |
| dc.identifier.doi | 10.1080/27690911.2023.2165280 | |
| dc.identifier.issn | 2769-0911 | |
| dc.identifier.scopus | 2-s2.0-85147007850 | |
| dc.identifier.uri | https://doi.org/10.1080/27690911.2023.2165280 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13948 | |
| dc.language.iso | en | en_US |
| dc.publisher | Taylor & Francis Ltd | en_US |
| dc.relation.ispartof | Applied Mathematics in Science and Engineering | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fredholm-Type Integral Equations | en_US |
| dc.subject | I/F | en_US |
| dc.subject | (I/F)Over-Bar | en_US |
| dc.subject | Mellin Transform | en_US |
| dc.subject | Weyl Fractional Integral | en_US |
| dc.title | Analysis of the Family of Integral Equation Involving Incomplete Types of I and (i)over-Bar | en_US |
| dc.title | Analysis of the family of integral equation involving incomplete types of <i>Ii> and (<i>Ii>)over-bar-functions | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Suthar, Dl/0000-0001-9978-2177 | |
| gdc.author.id | , Shyamsunder/0000-0002-8020-0541 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | , Shyamsunder/Goe-4703-2022 | |
| gdc.author.wosid | Jangid, Kamlesh/T-8452-2017 | |
| gdc.author.wosid | Suthar, Dl/E-4792-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Bhatter, Sanjay; Kumawat, Shyamsunder] Malaviya Natl Inst Technol Jaipur, Dept Math, Jaipur, India; [Jangid, Kamlesh] Cent Univ Rajasthan, Dept Math, Ajmer, India; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkiye; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania; [Baleanu, Dumitru] Lebanese Amer Univ, Dept Comp Sci & Math, Beirut, Lebanon; [Suthar, D. L.] Wollo Univ, Dept Math, Dessie, Ethiopia; [Purohit, Sunil Dutt] Rajasthan Tech Univ, Dept HEAS Math, Kota, India; [Suthar, D. L.] Wollo Univ, Dept Math, POB 1145, Dessie, Ethiopia | en_US |
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