Existence of Solutions for Nonlinear Fractional Differential Equations and Inclusions Depending on Lower-Order Fractional Derivatives
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Muthaiah, Subramanian | |
| dc.date.accessioned | 2021-01-07T11:41:39Z | |
| dc.date.accessioned | 2025-09-18T12:05:43Z | |
| dc.date.available | 2021-01-07T11:41:39Z | |
| dc.date.available | 2025-09-18T12:05:43Z | |
| dc.date.issued | 2020 | |
| dc.description | Muthaiah Ph.D, Dr.Subramanian/0000-0001-5281-0935 | en_US |
| dc.description.abstract | This article deals with the solutions of the existence and uniqueness for a new class of boundary value problems (BVPs) involving nonlinear fractional differential equations (FDEs), inclusions, and boundary conditions involving the generalized fractional integral. The nonlinearity relies on the unknown function and its fractional derivatives in the lower order. We use fixed-point theorems with single-valued and multi-valued maps to obtain the desired results, through the support of illustrations, the main results are well explained. We also address some variants of the problem. | en_US |
| dc.identifier.citation | Muthaiah, Subramanian; Baleanu, Dumitru (2020). "Existence of Solutions for Nonlinear Fractional Differential Equations and Inclusions Depending on Lower-Order Fractional Derivatives", Axioms, Vol. 9, No. 2. | en_US |
| dc.identifier.doi | 10.3390/axioms9020044 | |
| dc.identifier.issn | 2075-1680 | |
| dc.identifier.scopus | 2-s2.0-85085977620 | |
| dc.identifier.uri | https://doi.org/10.3390/axioms9020044 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10698 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.relation.ispartof | Axioms | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Single-Valued Map | en_US |
| dc.subject | Multi-Valued Map | en_US |
| dc.subject | Caputo Derivative | en_US |
| dc.subject | Generalized Riemann-Liouville Integral | en_US |
| dc.title | Existence of Solutions for Nonlinear Fractional Differential Equations and Inclusions Depending on Lower-Order Fractional Derivatives | en_US |
| dc.title | Existence of Solutions for Nonlinear Fractional Differential Equations and Inclusions Depending on Lower-Order Fractional Derivatives | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Muthaiah Ph.D, Dr.Subramanian/0000-0001-5281-0935 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Muthaiah Ph.D, Dr.Subramanian/Aax-6334-2020 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Muthaiah, Subramanian] Sri Ramakrishna Mission Vidyalaya Coll Arts & Sci, Dept Math, Coimbatore 641020, Tamil Nadu, India; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele 077125, Romania | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.startpage | 44 | |
| gdc.description.volume | 9 | en_US |
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| gdc.oaire.keywords | single-valued map; multi-valued map; Caputo derivative; generalized Riemann–Liouville integral | |
| gdc.oaire.keywords | generalized Riemann–Liouville integral | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | multi-valued map | |
| gdc.oaire.keywords | single-valued map | |
| gdc.oaire.keywords | Caputo derivative | |
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