A Hadamard Fractional Boundary Value Problem on an Infinite Interval at Resonance
This paper addresses the existence of solutions to a Hadamard fractional differential equation of arbitrary order on an infinite interval, subject to integral boundary conditions that incorporate both Riemann–Stieltjes integrals and Hadamard fractional derivatives. Due to the presence of nontrivial...
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| Published in | Fractal and fractional Vol. 9; no. 6; p. 378 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
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01.06.2025
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| Abstract | This paper addresses the existence of solutions to a Hadamard fractional differential equation of arbitrary order on an infinite interval, subject to integral boundary conditions that incorporate both Riemann–Stieltjes integrals and Hadamard fractional derivatives. Due to the presence of nontrivial solutions in the associated homogeneous boundary value problem, the problem is classified as resonant. The Mawhin continuation theorem is utilized to derive the main findings. |
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| AbstractList | This paper addresses the existence of solutions to a Hadamard fractional differential equation of arbitrary order on an infinite interval, subject to integral boundary conditions that incorporate both Riemann–Stieltjes integrals and Hadamard fractional derivatives. Due to the presence of nontrivial solutions in the associated homogeneous boundary value problem, the problem is classified as resonant. The Mawhin continuation theorem is utilized to derive the main findings. |
| Audience | Academic |
| Author | Luca, Rodica Tudorache, Alexandru |
| Author_xml | – sequence: 1 givenname: Alexandru orcidid: 0000-0003-0151-505X surname: Tudorache fullname: Tudorache, Alexandru – sequence: 2 givenname: Rodica orcidid: 0000-0003-3901-5747 surname: Luca fullname: Luca, Rodica |
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| Cites_doi | 10.1002/mma.9005 10.1090/cbms/040 10.1515/dema-2022-0026 10.3390/axioms12080793 10.1007/978-94-010-0718-4 10.1016/j.chaos.2017.03.032 10.1186/s13662-021-03406-9 10.1186/s13662-016-0924-1 10.55730/1300-0098.3507 10.3390/fractalfract7060458 10.1007/978-3-319-52141-1 10.3390/fractalfract9020119 10.1155/2018/5438592 10.1016/j.aml.2019.05.007 10.3390/fractalfract8090543 10.3390/math8010126 10.3390/math6010004 10.1007/s12591-015-0270-x 10.1186/s13662-016-0878-3 |
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| Copyright | COPYRIGHT 2025 MDPI AG 2025 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
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| References | Cheng (ref_15) 2014; 2014 Hu (ref_16) 2016; 2016 Imaga (ref_7) 2021; 2021 Zhang (ref_8) 2016; 2016 Wang (ref_13) 2020; 10 ref_19 Djebali (ref_6) 2019; 2019 Ge (ref_9) 2019; 27 Baitiche (ref_14) 2020; 26 ref_25 Ma (ref_17) 2018; 2018 ref_24 ref_23 Wang (ref_12) 2022; 55 ref_22 ref_21 ref_20 ref_1 ref_3 Wang (ref_11) 2019; 97 Bohner (ref_4) 2024; 48 Garra (ref_18) 2017; 102 Mawhin (ref_2) 1993; Volume 1537 ref_5 Domoshnitsky (ref_10) 2023; 46 |
| References_xml | – volume: 46 start-page: 12018 year: 2023 ident: ref_10 article-title: Existence of solutions for a higher order Riemann-Liouville fractional differential equation by Mawhin’s coincidence degree theory publication-title: Math. Meth. Appl. Sci. doi: 10.1002/mma.9005 – ident: ref_1 doi: 10.1090/cbms/040 – volume: 55 start-page: 238 year: 2022 ident: ref_12 article-title: Positive solutions for fractional differential equation at resonance under integral boundary conditions publication-title: Demonstr. Math. doi: 10.1515/dema-2022-0026 – volume: 10 start-page: 2459 year: 2020 ident: ref_13 article-title: Positive solutions of fractional differential equation boundary value problems at resonance publication-title: J. Appl. Anal. Comput. – ident: ref_22 doi: 10.3390/axioms12080793 – ident: ref_24 doi: 10.1007/978-94-010-0718-4 – volume: 102 start-page: 333 year: 2017 ident: ref_18 article-title: A generalization of the Lomnitz logarithmic creep law via Hadamard fractional calculus publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2017.03.032 – volume: 2021 start-page: 13 year: 2021 ident: ref_7 article-title: On a fractional-order p-Laplacian boundary value problem at resonance on the half-line with two dimensional kernel publication-title: Adv. Differ. Equ. doi: 10.1186/s13662-021-03406-9 – volume: 26 start-page: 167 year: 2020 ident: ref_14 article-title: Sequential fractional differential equations at resonance publication-title: Funct. Differ. Equ. – volume: 2016 start-page: 200 year: 2016 ident: ref_16 article-title: Existence of solutions to a coupled system of fractional differential equations with infinite-point boundary value conditions at resonance publication-title: Adv. Differ. Equ. doi: 10.1186/s13662-016-0924-1 – volume: 48 start-page: 296 year: 2024 ident: ref_4 article-title: Existence of solutions by coincidence degree theory for Hadamard fractional differential equations at resonance publication-title: Turk. J. Math. doi: 10.55730/1300-0098.3507 – ident: ref_21 doi: 10.3390/fractalfract7060458 – volume: Volume 1537 start-page: 74 year: 1993 ident: ref_2 article-title: Topological Degree and Boundary Value Problems for Nonlinear Differential Equations publication-title: Topological Methods for Ordinary Differential Equations – ident: ref_20 doi: 10.1007/978-3-319-52141-1 – ident: ref_3 doi: 10.3390/fractalfract9020119 – ident: ref_25 – volume: 2018 start-page: 5438592 year: 2018 ident: ref_17 article-title: Resonant integral boundary value problems for Caputo fractional differential equations publication-title: Math. Probl. Eng. doi: 10.1155/2018/5438592 – volume: 97 start-page: 34 year: 2019 ident: ref_11 article-title: Necessary conditions for the existence of positive solutions to fractional boundary value problems at resonance publication-title: Appl. Math. Lett. doi: 10.1016/j.aml.2019.05.007 – ident: ref_23 doi: 10.3390/fractalfract8090543 – ident: ref_5 doi: 10.3390/math8010126 – ident: ref_19 doi: 10.3390/math6010004 – volume: 27 start-page: 395 year: 2019 ident: ref_9 article-title: Existence of solutions for a coupled fractional differential equations with infinitely many points boundary conditions at resonance on an unbounded domain publication-title: Differ. Equ. Dyn. Syst. doi: 10.1007/s12591-015-0270-x – volume: 2014 start-page: 1 year: 2014 ident: ref_15 article-title: Boundary value problem for a coupled system of fractional differential equations with p-Laplacian operator at resonance publication-title: Electr. J. Differ. Equ. – volume: 2019 start-page: 21 year: 2019 ident: ref_6 article-title: Resonant fractional differential equations with multi-point boundary conditions on (0,+∞) publication-title: J. Nonlinear Funct. Anal. – volume: 2016 start-page: 183 year: 2016 ident: ref_8 article-title: Solvability for a fractional p-Laplacian multipoint boundary value problem at resonance on infinite interval publication-title: Adv. Differ. Equ. doi: 10.1186/s13662-016-0878-3 |
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| SubjectTerms | Banach spaces Boundary conditions Boundary value problems Differential equations existence of solutions Fractional calculus Hadamard fractional differential equation integral boundary conditions Integrals resonant problem |
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| Title | A Hadamard Fractional Boundary Value Problem on an Infinite Interval at Resonance |
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