Allahyari, Asghar, Amiri Kayvanloo, Hojjatollah, Mursaleen, Mohammad, Shole Haghighi, Ali, Davarpanah, Mohammad, Allahyari, Reza. (1403). Construction of compact-integral operators on $C^\infty(\Bbb{R}_+)$ and $C^n(\Bbb{R}_+)$ with application in the study of functional integro-differential equations. هنرهای کاربردی, 15(10), 377-389. doi: 10.22075/ijnaa.2023.26265.3280
Asghar Allahyari; Hojjatollah Amiri Kayvanloo; Mohammad Mursaleen; Ali Shole Haghighi; Mohammad Davarpanah; Reza Allahyari. "Construction of compact-integral operators on $C^\infty(\Bbb{R}_+)$ and $C^n(\Bbb{R}_+)$ with application in the study of functional integro-differential equations". هنرهای کاربردی, 15, 10, 1403, 377-389. doi: 10.22075/ijnaa.2023.26265.3280
Allahyari, Asghar, Amiri Kayvanloo, Hojjatollah, Mursaleen, Mohammad, Shole Haghighi, Ali, Davarpanah, Mohammad, Allahyari, Reza. (1403). 'Construction of compact-integral operators on $C^\infty(\Bbb{R}_+)$ and $C^n(\Bbb{R}_+)$ with application in the study of functional integro-differential equations', هنرهای کاربردی, 15(10), pp. 377-389. doi: 10.22075/ijnaa.2023.26265.3280
Allahyari, Asghar, Amiri Kayvanloo, Hojjatollah, Mursaleen, Mohammad, Shole Haghighi, Ali, Davarpanah, Mohammad, Allahyari, Reza. Construction of compact-integral operators on $C^\infty(\Bbb{R}_+)$ and $C^n(\Bbb{R}_+)$ with application in the study of functional integro-differential equations. هنرهای کاربردی, 1403; 15(10): 377-389. doi: 10.22075/ijnaa.2023.26265.3280

Construction of compact-integral operators on $C^\infty(\Bbb{R}_+)$ and $C^n(\Bbb{R}_+)$ with application in the study of functional integro-differential equations

International Journal of Nonlinear Analysis and Applications
مقاله 29، دوره 15، شماره 10، دی 2024، صفحه 377-389    اصل مقاله (541.01 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.26265.3280
نویسندگان
Asghar Allahyari1؛ Hojjatollah Amiri Kayvanloo2؛ Mohammad Mursaleen3، 4؛ Ali Shole Haghighi2؛ Mohammad Davarpanah5؛ Reza Allahyari* 2
1Department of Mathematics, Tabas Branch, Islamic Azad University, Tabas, Iran.
2Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran.
3Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, Uttar Pradesh, India
4Department of Medical Research, China Medical University Hospital, China Medical University (Taiwan), Taichung, Taiwan
5Department of Mathematics, Ferdows Branch, Islamic Azad University, Ferdows, Iran.
چکیده
In this brief note, we present a fixed point theorem in the Fr$\acute{e}$chet space. Also we study a new family of measures of noncompactness on $C^\infty(\Bbb{R}_+)$ and $C^n(\Bbb{R}_+)$ and we investigate the construction of compact-integral operators on $C^\infty(\Bbb{R}_+)$ and $C^n(\Bbb{R}_+)$. Finally, we provide various examples which illustrate the existence of solutions for a wide variety of functional integral-differential equations.
کلیدواژه‌ها
Family of measures of noncompactness؛ condensing operators؛ integral-differential equations
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