The origin of cosmic rays has been an active area of research since their discovery
over a century ago. Supernova remnants (SNRs) are believed to be able to
accelerate cosmic rays up to the knee of the observed cosmic-ray spectrum.
Although the acceleration at SNR shocks has been extensively modelled, it is still not
clear that cosmic rays are able to escape these sources. After acceleration,
cosmic rays may escape the shock front and diffuse into the surrounding environment where
they could interact with ambient gas to produce gamma rays. Detection of gamma-ray emission
outside the observed shell of an SNR will provide evidence for cosmic-ray escape from SNRs. In
this contribution, we will outline an approach to search for escaped cosmic rays from SNRs using
Fermi-LAT data. We will discuss our methods to perform both a morphological and spectral analysis
for an SNR. We will present preliminary results for two Galactic SNRs, W28 and W51C. We aim to use
these results to perform multi-wavelength spectral modelling for the SNRs and investigate the possible
hadronic or leptonic origin of the gamma-ray emission.