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Some inverse problems for fractional integro-differential equation involving two arbitrary kernels

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Abstract

The inverse problems of recovering a space- and a time-dependent source terms whenever appropriate over-specified conditions are considered. The equation involved arbitrary kernels in time variable along with generalized Sturm–Liouville operator. Several particular cases of our problem have been used extensively in the literature to explain anomalous diffusion/transport phenomena. The existence and uniqueness results are proved for the inverse problems under certain assumptions on the given data. Several special cases corresponding to different choices of kernels are discussed.

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Authors and Affiliations

  1. Department of Mathematics, COMSATS University Islamabad, Park Road, Chak Shahzad Islamabad, Pakistan

    Sehrish Javed & Salman A. Malik

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  1. Sehrish Javed
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  2. Salman A. Malik
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Correspondence to Salman A. Malik.

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Javed, S., Malik, S.A. Some inverse problems for fractional integro-differential equation involving two arbitrary kernels. Z. Angew. Math. Phys. 73, 140 (2022). https://doi.org/10.1007/s00033-022-01770-4

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  • DOI: https://doi.org/10.1007/s00033-022-01770-4

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