Ismaael, Fawzi Muttar An investigation on the existence and uniqueness analysis of the fractional nonlinear integro-differential equations. (English) Zbl 1522.45008 Nonlinear Funct. Anal. Appl. 28, No. 1, 237-249 (2023). Reviewer: Kai Diethelm (Schweinfurt) MSC: 45J05 26A33 45B05 45D05 47H10 47N20 × Cite Format Result Cite Review PDF Full Text: Link
Chu, Yu-Ming; Ullah, Saif; Ali, Muzaher; Tuzzahrah, Ghulam Fatima; Munir, Taj Numerical investigation of Volterra integral equations of second kind using optimal homotopy asymptotic method. (English) Zbl 1510.65325 Appl. Math. Comput. 430, Article ID 127304, 14 p. (2022). MSC: 65R20 45D05 × Cite Format Result Cite Review PDF Full Text: DOI
Hasan, Sameer Qasim Hölder’s inequality \(\rho \)-mean continuity for existence and uniqueness solution of fractional multi-integrodifferential delay system. (English) Zbl 1453.34099 J. Math. 2020, Article ID 1819752, 16 p. (2020). MSC: 34K37 34K30 34K10 34K45 45J99 47N20 × Cite Format Result Cite Review PDF Full Text: DOI
Altürk, Ahmet; Coşgun, Tahir The use of Lavrentiev regularization method in Fredholm integral equations of the first kind. (English) Zbl 1469.45001 Int. J. Adv. Appl. Math. Mech. 7, No. 2, 70-79 (2019). MSC: 45B05 × Cite Format Result Cite Review PDF Full Text: Link
Bani issa, Mohammed Sh.; Hamoud, Ahmed A.; Giniswamy; Ghadle, Kirtiwant P. Solving nonlinear Volterra integral equations by using numerical techniques. (English) Zbl 1465.65167 Int. J. Adv. Appl. Math. Mech. 6, No. 4, 50-54 (2019). MSC: 65R20 45D05 × Cite Format Result Cite Review PDF Full Text: Link
Aissani, Khalida; Benchohra, Mouffak; Benkhettou, Nadia On fractional integro-differential equations with state-dependent delay and non-instantaneous impulses. (English) Zbl 1446.34093 Cubo 21, No. 1, 61-75 (2019). MSC: 34K30 34K37 34K45 45J99 47N20 × Cite Format Result Cite Review PDF Full Text: DOI
de Sousa, Robert; Minhós, Feliz Coupled systems of Hammerstein-type integral equations with sign-changing kernels. (English) Zbl 1472.45006 Nonlinear Anal., Real World Appl. 50, 469-483 (2019). Reviewer: Alexandru Mihai Bica (Oradea) MSC: 45G10 45G15 45F15 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
Fernane, Khaireddine Analytical solution of linear integro-differential equations with weakly singular kernel by using Taylor expansion method. (English) Zbl 1497.45010 J. Nonlinear Evol. Equ. Appl. 2018, 27-37 (2018). MSC: 45J05 45A05 45E10 45G10 65R20 × Cite Format Result Cite Review PDF Full Text: Link
Mohammadi, Fakhrodin An efficient fractional-order wavelet method for fractional Volterra integro-differential equations. (English) Zbl 1499.65285 Int. J. Comput. Math. 95, No. 12, 2396-2418 (2018). MSC: 65L05 26A33 34K37 45J05 65T60 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Jiao; Xu, Tian-Zhou; Wei, Yan-Qiao; Xie, Jia-Quan Numerical simulation for coupled systems of nonlinear fractional order integro-differential equations via wavelets method. (English) Zbl 1426.65119 Appl. Math. Comput. 324, 36-50 (2018). MSC: 65L60 65R20 34K37 34A08 45J05 65L20 65T60 × Cite Format Result Cite Review PDF Full Text: DOI
Mohammadi, Fakhrodin; Ciancio, Armando Wavelet-based numerical method for solving fractional integro-differential equation with a weakly singular kernel. (English) Zbl 1412.47020 Wavel. Linear Algebra 4, No. 1, 53-73 (2017). MSC: 65R20 45K05 65T60 42C40 35R11 × Cite Format Result Cite Review PDF
Mohammadi, Fakhrodin Second kind Chebyshev wavelet Galerkin method for stochastic Itô-Volterra integral equations. (English) Zbl 1359.65015 Mediterr. J. Math. 13, No. 5, 2613-2631 (2016). Reviewer: Melvin D. Lax (Long Beach) MSC: 65C30 65T60 60H20 60H35 45R05 × Cite Format Result Cite Review PDF Full Text: DOI
Gautam, Ganga Ram; Dabas, Jaydev Existence of mild solutions for impulsive fractional functional integro-differential equations. (English) Zbl 1415.34122 Fract. Differ. Calc. 5, No. 1, 65-77 (2015). MSC: 34K37 34K45 34A37 45J05 × Cite Format Result Cite Review PDF Full Text: DOI
Suganya, Selvaraj; Baleanu, Dumitru; Kalamani, Palaniyappan; Mallika Arjunan, Mani On fractional neutral integro-differential systems with state-dependent delay and non-instantaneous impulses. (English) Zbl 1422.34224 Adv. Difference Equ. 2015, Paper No. 372, 39 p. (2015). MSC: 34K37 34K45 45J05 × Cite Format Result Cite Review PDF Full Text: DOI