Relational Contractions of Matkowski–Berinde–Pant Type and an Application to Certain Fractional Differential Equations

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Publicado en:Fractal and Fractional vol. 9, no. 6 (2025), p. 348-365
Autor principal: Filali Doaa
Otros Autores: Khan, Faizan Ahmad, Alatawi Adel, Esmail, Alshaban, Ali Montaser Saudi, Alamrani, Fahad M
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MDPI AG
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024 7 |a 10.3390/fractalfract9060348  |2 doi 
035 |a 3223906255 
045 2 |b d20250101  |b d20251231 
100 1 |a Filali Doaa  |u Department of Mathematical Science, College of Sciences, Princess Nourah bint Abdulrahman University, Riyadh 84428, Saudi Arabia; dkfilali@pnu.edu.sa 
245 1 |a Relational Contractions of Matkowski–Berinde–Pant Type and an Application to Certain Fractional Differential Equations 
260 |b MDPI AG  |c 2025 
513 |a Journal Article 
520 3 |a This paper concludes a few fixed-point outcomes involving almost Matkowski contraction-inequality of Pant type in a relational metric space. The findings established here enhance, expand, consolidate and develop several noted outcomes. In order to argue for our investigations, we construct some illustrative examples. We exploit our outcomes to analyze the availability of a (unique) positive solution to certain singular fractional differential equations. 
653 |a Fractional calculus 
653 |a Metric space 
653 |a Differential equations 
653 |a Theorems 
700 1 |a Khan, Faizan Ahmad  |u Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia; amalatawi@ut.edu.sa (A.A.); ealshaban@ut.edu.sa (E.A.); mbarakat@ut.edu.sa (M.S.A.) 
700 1 |a Alatawi Adel  |u Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia; amalatawi@ut.edu.sa (A.A.); ealshaban@ut.edu.sa (E.A.); mbarakat@ut.edu.sa (M.S.A.) 
700 1 |a Esmail, Alshaban  |u Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia; amalatawi@ut.edu.sa (A.A.); ealshaban@ut.edu.sa (E.A.); mbarakat@ut.edu.sa (M.S.A.) 
700 1 |a Ali Montaser Saudi  |u Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia; amalatawi@ut.edu.sa (A.A.); ealshaban@ut.edu.sa (E.A.); mbarakat@ut.edu.sa (M.S.A.) 
700 1 |a Alamrani, Fahad M  |u Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia; amalatawi@ut.edu.sa (A.A.); ealshaban@ut.edu.sa (E.A.); mbarakat@ut.edu.sa (M.S.A.) 
773 0 |t Fractal and Fractional  |g vol. 9, no. 6 (2025), p. 348-365 
786 0 |d ProQuest  |t Engineering Database 
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