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Content available Nonincreasing solutions for quadratic integral equations of Convolution type
El-Sayed W. G., Abd El-Mowla A. A. H.
Journal of Mathematics and Applications
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2019
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Vol. 42
95--107
EN
We study a nonlinear quadratic integral equation of Convolution type in the Banach space of real functions defined and continuous on a bounded and closed interval. By using a suitable measure of noncompactness, we show that the integral equation has monotonic solutions.
2
Content available Weak solutions of fractional order differential equations via Volterra-Stieltjes integral operator
El-Sayed A. M. A., El-Sayed W. G., Abd El-Mowla A. A. H.
Journal of Mathematics and Applications
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2017
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Vol. 40
85--96
EN
The fractional derivative of the Riemann-Liouville and Caputo types played an important role in the development of the theory of fractional derivatives, integrals and for its applications in pure mathematics ([18], [21]). In this paper, we study the existence of weak solutions for fractional differential equations of Riemann-Liouville and Caputo types. We depend on converting of the mentioned equations to the form of functional integral equations of Volterra-Stieltjes type in reflexive Banach spaces.
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