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Partial Hadamard-Stieltjes Fractional Integral Equations in Banach Spaces

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Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness

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Abstract

This chapter deals with some existence results for some classes of functional partial integral equations via Hadamard’s fractional operator. The results involve applications of the method associated with the technique of measure of noncompactness and the fixed point theorems of Darbo and Mönch.

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Author information

Authors and Affiliations

  1. Laboratory of Mathematics, University of Saïda, P.O. Box 138, 20000, Saïda, Algeria

    Saïd Abbas

  2. Laboratory of Mathematics, University of Sidi Bel-Abbès, P.O. Box 89, 22000, Sidi Bel-Abbès, Algeria

    Mouffak Benchohra

  3. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia

    Mouffak Benchohra

  4. Department of Mathematics, Baylor University, Texas, Waco, 76798-7328, USA

    Johnny Henderson

Authors
  1. Saïd Abbas
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  2. Mouffak Benchohra
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  3. Johnny Henderson
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Corresponding author

Correspondence to Johnny Henderson .

Editor information

Editors and Affiliations

  1. Department of Nonlinear Analysis, Rzeszów University of Technology, Rzeszów, Poland

    Józef Banaś

  2. Department of Mathematics, King Saud University, Riyadh, Saudi Arabia

    Mohamed Jleli

  3. Department of Mathematics, Aligarh Muslim University, Aligarh, Uttar Pradesh, India

    Mohammad Mursaleen

  4. Department of Mathematics, King Saud University, Riyadh, Saudi Arabia

    Bessem Samet

  5. Dipartimento di Matematica e Informatica, University of Palermo, Palermo, Italy

    Calogero Vetro

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Abbas, S., Benchohra, M., Henderson, J. (2017). Partial Hadamard-Stieltjes Fractional Integral Equations in Banach Spaces. In: Banaś, J., Jleli, M., Mursaleen, M., Samet, B., Vetro, C. (eds) Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness. Springer, Singapore. https://doi.org/10.1007/978-981-10-3722-1_9

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