Existence and uniqueness of solutions for nonlinear Volterra‐Fredholm integro‐differential equation of fractional order with boundary conditions
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DOI: 10.1002/mma.5845
Abstract: In this paper, we established some results concerning the existence and uniqueness of a nonlinear Volterra‐Fredholm integro‐differential equation of Caputo fractional order subject to the boundary value conditions. These new results are obtained by applying… read more here.
Keywords: existence uniqueness; volterra fredholm; integro differential; differential equation ... See more keywords
Existence of solutions for some non‐Fredholm integro‐differential equations with the bi‐Laplacian
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DOI: 10.1002/mma.6721
Abstract: We prove the existence of solutions for some semilinear elliptic equations in the appropriate H4 spaces using the fixed‐point technique where the elliptic equation contains fourth‐order differential operators with and without Fredholm property, generalizing the… read more here.
Keywords: solutions non; integro differential; non fredholm; fredholm integro ... See more keywords
Solving of nonlinear Fredholm integro-differential equation in a complex plane with rationalized Haar wavelet bases
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DOI: 10.1142/s1793557119500554
Abstract: Everyone knows about the complicated solution of the nonlinear Fredholm integro-differential equation in general. Hence, often, authors attempt to obtain the approximate solution. In this paper, a numerical method for the solutions of the nonlinear… read more here.
Keywords: fredholm integro; integro differential; differential equation; complex plane ... See more keywords
Solving Fractional Volterra-Fredholm Integro-Differential Equations via A** Iteration Method
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DOI: 10.3390/axioms11090470
Abstract: In this article, we develop a faster iteration method, called the A** iteration method, for approximating the fixed points of almost contraction mappings and generalized α-nonexpansive mappings. We establish some weak and strong convergence results… read more here.
Keywords: fredholm integro; fractional volterra; iteration method; volterra fredholm ... See more keywords
Numerical Computation of Mixed Volterra-Fredholm Integro-Fractional Differential Equations by Using Newton-Cotes Methods
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DOI: 10.3390/sym14081693
Abstract: In this article, the numerical solution of the mixed Volterra–Fredholm integro-differential equations of multi-fractional order less than or equal to one in the Caputo sense (V-FIFDEs) under the initial conditions is presented with powerful algorithms.… read more here.
Keywords: fredholm integro; numerical computation; mixed volterra; volterra fredholm ... See more keywords