Solving Mixed Volterra-Fredholm Integro Differential Equations by Using HAM

References (1)

1. Araghi, M.A., Behzadi, S.S., Solving nonlinear Volterra-Fredholm integro-differential equations using the modified Adomian decomposition method, Comput. Methods in Appl. Math., 9(2009), 321–331. 1 [2] Behiry, S.H., Mohamed, S.I., Solving high-order nonlinear Volterra-Fredholm integro-differential equations by differential transform method, Natural Science, 4(8) (2012), 581–587. 1 [3] Babolian, E., Masouri, Z., Hatamzadeh, S., New direct method to solve nonlinear Volterra-Fredholm integral and integro differential equation using operational matrix with Block-Pulse functions, Progress in Electromagnetic Research, B 8(2008), 59–76. 1 [4] El-Sayed, S.M., Kaya, D., Zarea, S., The decomposition method applied to solve high-order linear Volterra-Fredholm integro-differential equations, International Journal of Nonlinear Sciences and Numerical Simulation, 5(2)(2004), 105–112. 1 [5] Fadhel, F.S., Mezaal, A.O., Salih, S.H., Approximate solution of the linear mixed Volterra-Fredholm integro-differential equations of second kind by using variational iteration method, Al- Mustansiriyah, J. Sci., 24(5)(2013), 137–146. 1 [6] Ghasemi, M., kajani, M., Babolian, E., Application of He’s homotopy perturbation method to nonlinear integro differential equations, Appl. Math. Comput., 188(2007), 538–548. 1 [7] He, J.H., Wang, S.Q., Variational iteration method for solving integro-differential equations, Phys. Lett., A 367()2007), 188–191. 1 [8] Hamoud, A.A., Ghadle, K.P., Existence and uniqueness of the solution for Volterra-Fredholm integro-differential equations, Journal of Siberian Federal University. Mathematics & Physics, 11(6)(2018), 692–701. 2 [9] Hamoud, A.A., Ghadle, K.P., Modified Laplace decomposition method for fractional Volterra-Fredholm integro-differential equations, Journal of Mathematical Modeling, 6(1)(2018), 91–104. 1 [10] Hamoud, A.A., Ghadle, K.P., Homotopy analysis method for the first order fuzzy Volterra-Fredholm integro-differential equations, Indonesian J. Elec. Eng. & Comp. Sci. 11(3)(2018), 857–867. 1 [11] Hamoud, A.A., Ghadle, K.P., Some new existence, uniqueness and convergence results for fractional Volterra- Fredholm integro-differential equations, J. Appl. Comp. Mech. 5(1)(2019), 58–69. 1 [12] Hamoud, A.A., Ghadle, K.P., Existence and uniqueness of solutions for fractional mixed Volterra-Fredholm integro-differential equations, Indian J. Math., 60(3)(2018), 375–395. 1 [13] Hamoud, A.A., Ghadle, K.P., The approximate solutions of fractional V