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Publication Cover
Applicable Analysis
An International Journal
Volume 33, 1989 - Issue 3-4
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Original Articles

Rothe’s method to parabolic integra-differential equations via abstract integra-differential equations

D. Bahuguna Department of Mathematics, Indian Institute of Technology, Kanpur, 208016, INDIA
&
V. Raghavendra Department of Mathematics, Indian Institute of Technology, Kanpur, 208016, INDIA
Pages 153-167 | Received 16 Jan 1989, Published online: 02 May 2007

Citations (21)

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Dhirendra Bahuguna & Anjali Jaiswal. (2019) Rothe time discretization method for fractional integro-differential equations. International Journal for Computational Methods in Engineering Science and Mechanics 20:6, pages 540-547.
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Abderrazek Chaoui & Ahmed Hallaci. (2018) On the solution of a fractional diffusion integrodifferential equation with Rothe time discretization. Numerical Functional Analysis and Optimization 39:6, pages 643-654.
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M.I. Gil'. (1998) On global stability of parabolic systems with delay. Applicable Analysis 69:1-2, pages 1037-1043.
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Articles from other publishers (18)

Noureddine Touati Brahim, Abderrezak Chaoui & Youcef Henka. (2024) On the study of parabolic degenerate p-biharmonic problem with memory. Journal of Applied Mathematics and Computing.
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Abderrazak Chaoui & Manal Djaghout. (2023) Galerkin mixed finite element method for parabolic p-biharmonic equation with memory term. SeMA Journal.
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Raksha Devi & D. N. Pandey. (2023) Approximation of solution for generalized Basset equation with finite delay using Rothe's approach. Malaya Journal of Matematik 11:012, pages 25-42.
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Areefa Khatoon, Abdur Raheem & Asma Afreen. (2022) METHOD OF TIME-DISCRETIZATION TO A MULTITERM NONLINEAR RETARDED DIFFERENTIAL EQUATION. Journal of Integral Equations and Applications 34:4.
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Md. Maqbul & Nishi Gupta. (2021) Approximate Solutions to Euler–Bernoulli Beam Type Equation. Mediterranean Journal of Mathematics 18:5.
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Md. Maqbul & A. Raheem. (2020) Time-discretization schema for a semilinear pseudo-parabolic equation with integral conditions. Applied Numerical Mathematics 148, pages 18-27.
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Nishi Gupta & Md. Maqbul. (2019) Solutions to Rayleigh–Love equation with constant coefficients and delay forcing term. Applied Mathematics and Computation 355, pages 123-134.
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Anjali Jaiswal & D. Bahuguna. A second order evolution equation with a lower order fractional term in a Banach space. A second order evolution equation with a lower order fractional term in a Banach space.
A. Chaoui & N. Rezgui. (2017) Solution to fractional pseudoparabolic equation with fractional integral condition. Rendiconti del Circolo Matematico di Palermo Series 2 67:2, pages 205-213.
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. 2016. Numerical Solutions of Three Classes of Nonlinear Parabolic Integro-Differential Equations. Numerical Solutions of Three Classes of Nonlinear Parabolic Integro-Differential Equations 179 234 .
A. Chaoui & A. Guezane-Lakoud. (2015) Solution to an integrodifferential equation with integral condition. Applied Mathematics and Computation 266, pages 903-908.
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Abdur Raheem & Dhirendra Bahuguna. (2013) A Study of Delay Integrodifferential Parabolic Problems. Differential Equations and Dynamical Systems 21:4, pages 309-321.
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A. Guezane-Lakoud & D. Belakroum. (2012) Time-discretization schema for an integrodifferential Sobolev type equation with integral conditions. Applied Mathematics and Computation 218:9, pages 4695-4702.
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Abdelfatah Bouziani & Rachid Mechri. (2010) The Rothe's Method to a Parabolic Integrodifferential Equation with a Nonclassical Boundary Conditions. International Journal of Stochastic Analysis 2010, pages 1-16.
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A. Guezane-Lakoud, M.S. Jasmati & A. Chaoui. (2010) Rothe’s method for an integrodifferential equation with integral conditions. Nonlinear Analysis: Theory, Methods & Applications 72:3-4, pages 1522-1530.
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Jaydev Dabas & Dhirendra Bahuguna. (2009) An integro-differential parabolic problem with an integral boundary condition. Mathematical and Computer Modelling 50:1-2, pages 123-131.
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D. Bahuguna. (1995) Rothe's method to strongly damped wave equations. Acta Applicandae Mathematicae 38:2, pages 185-196.
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D. Bahuguna. (1995) Quasilinear integrodifferential equations in Banach spaces. Nonlinear Analysis: Theory, Methods & Applications 24:2, pages 175-183.
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