On the existence of solutions of non-linear 2D Volterra integral equations in a Banach Space

Chauhan, Harsh; Singh, Beenu; Tunç, Cemil; Tunç, Osman

doi:10.1007/s13398-022-01246-0

On the existence of solutions of non-linear 2D Volterra integral equations in a Banach Space

Chauhan H. V. S., Singh B., Tunç C., Tunç O.

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, cilt.116, sa.3, 2022 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 116 Sayı: 3
Basım Tarihi: 2022
Doi Numarası: 10.1007/s13398-022-01246-0
Dergi Adı: REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, MathSciNet, zbMATH, DIALNET, Civil Engineering Abstracts
Anahtar Kelimeler: Integral equations, Measure of non-compactness (MNC), Petryshyn fixed point theorem (PFPT), SOLVABILITY, BOUNDEDNESS
Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this work, we examine the solvability of non-linear 2D Volterra integral equations through Petryshyn fixed point theorem in Banach space C([0, c] x [0, d]). Our work covers many previous results that occur in non-linear analysis and some real-world problems under some weaker conditions. The efficiency of our work is presented by some examples.