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Existence and uniqueness of solutions for nonlinear Volterra‐Fredholm integro‐differential equation of fractional order with boundary conditions

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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… Click to show full 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 standard fixed point theorems. An example is presented to illustrate our main result.

Keywords: existence uniqueness; volterra fredholm; integro differential; differential equation; fredholm integro; nonlinear volterra

Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2019

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