Solution of a Fractional Integral Equation Using the Darbo Fixed Point Theorem

In this article, we prove new common fixed-point theorems on a $\mathscr{C}^{*}$ C ∗ -algebra-valued $\mathcal{R}$ R -metric space. An example is given based on our obtained results. To enhance our results, a strong application based on the fractional-order initial value problem is provided.

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Solution of a Fractional Integral Equation Using the Darbo Fixed Point Theorem

Cited by 4 publications

References 10 publications

Solvability of infinite systems of Caputo–Hadamard fractional differential equations in the triple sequence space $$c^3(\triangle )$$

Solvability of infinite systems of Caputo–Hadamard fractional differential equations in the triple sequence space $$c^3(\triangle )$$

Solution of Hammerstein type integral equation with two variables via a new fixed point theorem

Solution of a nonlinear fractional-order initial value problem via a $\mathscr{C}^{*}$-algebra-valued $\mathcal{R}$-metric space

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